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Finding the Fourth Proportional to 616.29, 849.95 and 533.37

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Solution

The fourth proportional to 616.29, 849.95 and 533.37 is: 735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.29 : 849.95 = 533.37 : x
  2. Step 2: Convert to fraction form
    616.29/849.95 = 533.37/x
  3. Step 3: Cross multiply
    616.29x = 849.95 × 533.37
  4. Step 4: Simplify right side
    616.29x = 453,335.16
  5. Step 5: Solve for x
    x = 453,335.16/616.29
  6. Step 6: Final answer
    x = 735.59

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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.