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Finding the Fourth Proportional to 478.96, 717.13 and 416.66

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Solution

The fourth proportional to 478.96, 717.13 and 416.66 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 717.13 = 416.66 : x
  2. Step 2: Convert to fraction form
    478.96/717.13 = 416.66/x
  3. Step 3: Cross multiply
    478.96x = 717.13 × 416.66
  4. Step 4: Simplify right side
    478.96x = 298,796.32
  5. Step 5: Solve for x
    x = 298,796.32/478.96
  6. Step 6: Final answer
    x = 623.85

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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.