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Finding the Fourth Proportional to 537.16, 740.76 and 406.48

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Solution

The fourth proportional to 537.16, 740.76 and 406.48 is: 560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.16 : 740.76 = 406.48 : x
  2. Step 2: Convert to fraction form
    537.16/740.76 = 406.48/x
  3. Step 3: Cross multiply
    537.16x = 740.76 × 406.48
  4. Step 4: Simplify right side
    537.16x = 301,104.12
  5. Step 5: Solve for x
    x = 301,104.12/537.16
  6. Step 6: Final answer
    x = 560.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.