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Finding the Fourth Proportional to 624.19, 935.90 and 459.76

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Solution

The fourth proportional to 624.19, 935.90 and 459.76 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.19 : 935.90 = 459.76 : x
  2. Step 2: Convert to fraction form
    624.19/935.90 = 459.76/x
  3. Step 3: Cross multiply
    624.19x = 935.90 × 459.76
  4. Step 4: Simplify right side
    624.19x = 430,285.85
  5. Step 5: Solve for x
    x = 430,285.85/624.19
  6. Step 6: Final answer
    x = 689.36

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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.