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Finding the Fourth Proportional to 506.24, 698.63 and 358.92

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Solution

The fourth proportional to 506.24, 698.63 and 358.92 is: 495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.24 : 698.63 = 358.92 : x
  2. Step 2: Convert to fraction form
    506.24/698.63 = 358.92/x
  3. Step 3: Cross multiply
    506.24x = 698.63 × 358.92
  4. Step 4: Simplify right side
    506.24x = 250,752.28
  5. Step 5: Solve for x
    x = 250,752.28/506.24
  6. Step 6: Final answer
    x = 495.32

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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.