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Finding the Fourth Proportional to 599.85, 900.14 and 275.24

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Solution

The fourth proportional to 599.85, 900.14 and 275.24 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.85 : 900.14 = 275.24 : x
  2. Step 2: Convert to fraction form
    599.85/900.14 = 275.24/x
  3. Step 3: Cross multiply
    599.85x = 900.14 × 275.24
  4. Step 4: Simplify right side
    599.85x = 247,748.66
  5. Step 5: Solve for x
    x = 247,748.66/599.85
  6. Step 6: Final answer
    x = 413.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.