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Finding the Fourth Proportional to 740.16, 1,110.28 and 431.78

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Solution

The fourth proportional to 740.16, 1,110.28 and 431.78 is: 647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.16 : 1,110.28 = 431.78 : x
  2. Step 2: Convert to fraction form
    740.16/1,110.28 = 431.78/x
  3. Step 3: Cross multiply
    740.16x = 1,110.28 × 431.78
  4. Step 4: Simplify right side
    740.16x = 479,398.34
  5. Step 5: Solve for x
    x = 479,398.34/740.16
  6. Step 6: Final answer
    x = 647.69

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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.