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Finding the Fourth Proportional to 457, 630.94 and 358.52

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Solution

The fourth proportional to 457, 630.94 and 358.52 is: 494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 630.94 = 358.52 : x
  2. Step 2: Convert to fraction form
    457/630.94 = 358.52/x
  3. Step 3: Cross multiply
    457x = 630.94 × 358.52
  4. Step 4: Simplify right side
    457x = 226,204.61
  5. Step 5: Solve for x
    x = 226,204.61/457
  6. Step 6: Final answer
    x = 494.98

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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.