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Finding the Fourth Proportional to 508.16, 760.92 and 392.33

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Solution

The fourth proportional to 508.16, 760.92 and 392.33 is: 587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.16 : 760.92 = 392.33 : x
  2. Step 2: Convert to fraction form
    508.16/760.92 = 392.33/x
  3. Step 3: Cross multiply
    508.16x = 760.92 × 392.33
  4. Step 4: Simplify right side
    508.16x = 298,531.74
  5. Step 5: Solve for x
    x = 298,531.74/508.16
  6. Step 6: Final answer
    x = 587.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.