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Finding the Fourth Proportional to 707.54, 976.42 and 392.81

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Solution

The fourth proportional to 707.54, 976.42 and 392.81 is: 542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 976.42 = 392.81 : x
  2. Step 2: Convert to fraction form
    707.54/976.42 = 392.81/x
  3. Step 3: Cross multiply
    707.54x = 976.42 × 392.81
  4. Step 4: Simplify right side
    707.54x = 383,549.00
  5. Step 5: Solve for x
    x = 383,549.00/707.54
  6. Step 6: Final answer
    x = 542.09

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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.