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Finding the Fourth Proportional to 494.03, 681.51 and 458.85

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Solution

The fourth proportional to 494.03, 681.51 and 458.85 is: 632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.03 : 681.51 = 458.85 : x
  2. Step 2: Convert to fraction form
    494.03/681.51 = 458.85/x
  3. Step 3: Cross multiply
    494.03x = 681.51 × 458.85
  4. Step 4: Simplify right side
    494.03x = 312,710.86
  5. Step 5: Solve for x
    x = 312,710.86/494.03
  6. Step 6: Final answer
    x = 632.98

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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.