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Finding the Fourth Proportional to 601.08, 829.44 and 380.10

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Solution

The fourth proportional to 601.08, 829.44 and 380.10 is: 524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.08 : 829.44 = 380.10 : x
  2. Step 2: Convert to fraction form
    601.08/829.44 = 380.10/x
  3. Step 3: Cross multiply
    601.08x = 829.44 × 380.10
  4. Step 4: Simplify right side
    601.08x = 315,270.14
  5. Step 5: Solve for x
    x = 315,270.14/601.08
  6. Step 6: Final answer
    x = 524.51

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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.