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Finding the Fourth Proportional to 707.62, 976.50 and 392.90

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Solution

The fourth proportional to 707.62, 976.50 and 392.90 is: 542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.62 : 976.50 = 392.90 : x
  2. Step 2: Convert to fraction form
    707.62/976.50 = 392.90/x
  3. Step 3: Cross multiply
    707.62x = 976.50 × 392.90
  4. Step 4: Simplify right side
    707.62x = 383,666.85
  5. Step 5: Solve for x
    x = 383,666.85/707.62
  6. Step 6: Final answer
    x = 542.19

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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.