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Finding the Fourth Proportional to 463.16, 693.29 and 257.07

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Solution

The fourth proportional to 463.16, 693.29 and 257.07 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.16 : 693.29 = 257.07 : x
  2. Step 2: Convert to fraction form
    463.16/693.29 = 257.07/x
  3. Step 3: Cross multiply
    463.16x = 693.29 × 257.07
  4. Step 4: Simplify right side
    463.16x = 178,220.18
  5. Step 5: Solve for x
    x = 178,220.18/463.16
  6. Step 6: Final answer
    x = 384.79

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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.