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Finding the Fourth Proportional to 479.54, 665.14 and 460.10

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Solution

The fourth proportional to 479.54, 665.14 and 460.10 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.54 : 665.14 = 460.10 : x
  2. Step 2: Convert to fraction form
    479.54/665.14 = 460.10/x
  3. Step 3: Cross multiply
    479.54x = 665.14 × 460.10
  4. Step 4: Simplify right side
    479.54x = 306,028.61
  5. Step 5: Solve for x
    x = 306,028.61/479.54
  6. Step 6: Final answer
    x = 638.17

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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.