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Finding the Fourth Proportional to 478.64, 717.28 and 375.46

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Solution

The fourth proportional to 478.64, 717.28 and 375.46 is: 562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.64 : 717.28 = 375.46 : x
  2. Step 2: Convert to fraction form
    478.64/717.28 = 375.46/x
  3. Step 3: Cross multiply
    478.64x = 717.28 × 375.46
  4. Step 4: Simplify right side
    478.64x = 269,309.95
  5. Step 5: Solve for x
    x = 269,309.95/478.64
  6. Step 6: Final answer
    x = 562.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.