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Finding the Fourth Proportional to 463.04, 694.10 and 257.84

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Solution

The fourth proportional to 463.04, 694.10 and 257.84 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 694.10 = 257.84 : x
  2. Step 2: Convert to fraction form
    463.04/694.10 = 257.84/x
  3. Step 3: Cross multiply
    463.04x = 694.10 × 257.84
  4. Step 4: Simplify right side
    463.04x = 178,966.74
  5. Step 5: Solve for x
    x = 178,966.74/463.04
  6. Step 6: Final answer
    x = 386.50

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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.