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Finding the Fourth Proportional to 616.68, 849.15 and 533.79

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Solution

The fourth proportional to 616.68, 849.15 and 533.79 is: 735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.68 : 849.15 = 533.79 : x
  2. Step 2: Convert to fraction form
    616.68/849.15 = 533.79/x
  3. Step 3: Cross multiply
    616.68x = 849.15 × 533.79
  4. Step 4: Simplify right side
    616.68x = 453,267.78
  5. Step 5: Solve for x
    x = 453,267.78/616.68
  6. Step 6: Final answer
    x = 735.01

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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.