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Finding the Fourth Proportional to 600.02, 827.64 and 413.52

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Solution

The fourth proportional to 600.02, 827.64 and 413.52 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.02 : 827.64 = 413.52 : x
  2. Step 2: Convert to fraction form
    600.02/827.64 = 413.52/x
  3. Step 3: Cross multiply
    600.02x = 827.64 × 413.52
  4. Step 4: Simplify right side
    600.02x = 342,247.24
  5. Step 5: Solve for x
    x = 342,247.24/600.02
  6. Step 6: Final answer
    x = 570.39

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.