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Finding the Fourth Proportional to 526.17, 725.76 and 349.17

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Solution

The fourth proportional to 526.17, 725.76 and 349.17 is: 481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.17 : 725.76 = 349.17 : x
  2. Step 2: Convert to fraction form
    526.17/725.76 = 349.17/x
  3. Step 3: Cross multiply
    526.17x = 725.76 × 349.17
  4. Step 4: Simplify right side
    526.17x = 253,413.62
  5. Step 5: Solve for x
    x = 253,413.62/526.17
  6. Step 6: Final answer
    x = 481.62

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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.