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Finding the Fourth Proportional to 655.89, 904.29 and 537.43

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Solution

The fourth proportional to 655.89, 904.29 and 537.43 is: 740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.89 : 904.29 = 537.43 : x
  2. Step 2: Convert to fraction form
    655.89/904.29 = 537.43/x
  3. Step 3: Cross multiply
    655.89x = 904.29 × 537.43
  4. Step 4: Simplify right side
    655.89x = 485,988.97
  5. Step 5: Solve for x
    x = 485,988.97/655.89
  6. Step 6: Final answer
    x = 740.96

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Why These Related Problems?

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