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Finding the Fourth Proportional to 478.18, 660.02 and 449.14

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Solution

The fourth proportional to 478.18, 660.02 and 449.14 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.18 : 660.02 = 449.14 : x
  2. Step 2: Convert to fraction form
    478.18/660.02 = 449.14/x
  3. Step 3: Cross multiply
    478.18x = 660.02 × 449.14
  4. Step 4: Simplify right side
    478.18x = 296,437.49
  5. Step 5: Solve for x
    x = 296,437.49/478.18
  6. Step 6: Final answer
    x = 619.93

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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.