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Finding the Fourth Proportional to 462.59, 693.65 and 257.30

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Solution

The fourth proportional to 462.59, 693.65 and 257.30 is: 385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.59 : 693.65 = 257.30 : x
  2. Step 2: Convert to fraction form
    462.59/693.65 = 257.30/x
  3. Step 3: Cross multiply
    462.59x = 693.65 × 257.30
  4. Step 4: Simplify right side
    462.59x = 178,476.79
  5. Step 5: Solve for x
    x = 178,476.79/462.59
  6. Step 6: Final answer
    x = 385.82

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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.