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Finding the Fourth Proportional to 532.24, 795.93 and 506.32

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Solution

The fourth proportional to 532.24, 795.93 and 506.32 is: 757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.24 : 795.93 = 506.32 : x
  2. Step 2: Convert to fraction form
    532.24/795.93 = 506.32/x
  3. Step 3: Cross multiply
    532.24x = 795.93 × 506.32
  4. Step 4: Simplify right side
    532.24x = 402,995.28
  5. Step 5: Solve for x
    x = 402,995.28/532.24
  6. Step 6: Final answer
    x = 757.17

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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.