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Finding the Fourth Proportional to 477.98, 663.13 and 460.70

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Solution

The fourth proportional to 477.98, 663.13 and 460.70 is: 639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 663.13 = 460.70 : x
  2. Step 2: Convert to fraction form
    477.98/663.13 = 460.70/x
  3. Step 3: Cross multiply
    477.98x = 663.13 × 460.70
  4. Step 4: Simplify right side
    477.98x = 305,501.69
  5. Step 5: Solve for x
    x = 305,501.69/477.98
  6. Step 6: Final answer
    x = 639.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.