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Finding the Fourth Proportional to 390.24, 539.20 and 297.12

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Solution

The fourth proportional to 390.24, 539.20 and 297.12 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.24 : 539.20 = 297.12 : x
  2. Step 2: Convert to fraction form
    390.24/539.20 = 297.12/x
  3. Step 3: Cross multiply
    390.24x = 539.20 × 297.12
  4. Step 4: Simplify right side
    390.24x = 160,207.10
  5. Step 5: Solve for x
    x = 160,207.10/390.24
  6. Step 6: Final answer
    x = 410.53

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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.