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Finding the Fourth Proportional to 552.16, 824.28 and 532.92

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Solution

The fourth proportional to 552.16, 824.28 and 532.92 is: 795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 824.28 = 532.92 : x
  2. Step 2: Convert to fraction form
    552.16/824.28 = 532.92/x
  3. Step 3: Cross multiply
    552.16x = 824.28 × 532.92
  4. Step 4: Simplify right side
    552.16x = 439,275.30
  5. Step 5: Solve for x
    x = 439,275.30/552.16
  6. Step 6: Final answer
    x = 795.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.