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Finding the Fourth Proportional to 938.16, 1,409.28 and 475.82

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Solution

The fourth proportional to 938.16, 1,409.28 and 475.82 is: 714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,409.28 = 475.82 : x
  2. Step 2: Convert to fraction form
    938.16/1,409.28 = 475.82/x
  3. Step 3: Cross multiply
    938.16x = 1,409.28 × 475.82
  4. Step 4: Simplify right side
    938.16x = 670,563.61
  5. Step 5: Solve for x
    x = 670,563.61/938.16
  6. Step 6: Final answer
    x = 714.76

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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.