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Finding the Fourth Proportional to 616.98, 849.72 and 534.06

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Solution

The fourth proportional to 616.98, 849.72 and 534.06 is: 735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.98 : 849.72 = 534.06 : x
  2. Step 2: Convert to fraction form
    616.98/849.72 = 534.06/x
  3. Step 3: Cross multiply
    616.98x = 849.72 × 534.06
  4. Step 4: Simplify right side
    616.98x = 453,803.47
  5. Step 5: Solve for x
    x = 453,803.47/616.98
  6. Step 6: Final answer
    x = 735.52

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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.