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Finding the Fourth Proportional to 478.93, 665.38 and 473.17

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Solution

The fourth proportional to 478.93, 665.38 and 473.17 is: 657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.93 : 665.38 = 473.17 : x
  2. Step 2: Convert to fraction form
    478.93/665.38 = 473.17/x
  3. Step 3: Cross multiply
    478.93x = 665.38 × 473.17
  4. Step 4: Simplify right side
    478.93x = 314,837.85
  5. Step 5: Solve for x
    x = 314,837.85/478.93
  6. Step 6: Final answer
    x = 657.38

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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.