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Finding the Fourth Proportional to 532.31, 795.66 and 480.17

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Solution

The fourth proportional to 532.31, 795.66 and 480.17 is: 717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 795.66 = 480.17 : x
  2. Step 2: Convert to fraction form
    532.31/795.66 = 480.17/x
  3. Step 3: Cross multiply
    532.31x = 795.66 × 480.17
  4. Step 4: Simplify right side
    532.31x = 382,054.05
  5. Step 5: Solve for x
    x = 382,054.05/532.31
  6. Step 6: Final answer
    x = 717.73

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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.