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Finding the Fourth Proportional to 529.85, 797.88 and 462.17

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Solution

The fourth proportional to 529.85, 797.88 and 462.17 is: 695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.85 : 797.88 = 462.17 : x
  2. Step 2: Convert to fraction form
    529.85/797.88 = 462.17/x
  3. Step 3: Cross multiply
    529.85x = 797.88 × 462.17
  4. Step 4: Simplify right side
    529.85x = 368,752.21
  5. Step 5: Solve for x
    x = 368,752.21/529.85
  6. Step 6: Final answer
    x = 695.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.