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Finding the Fourth Proportional to 616.53, 849.16 and 533.64

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Solution

The fourth proportional to 616.53, 849.16 and 533.64 is: 734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.53 : 849.16 = 533.64 : x
  2. Step 2: Convert to fraction form
    616.53/849.16 = 533.64/x
  3. Step 3: Cross multiply
    616.53x = 849.16 × 533.64
  4. Step 4: Simplify right side
    616.53x = 453,145.74
  5. Step 5: Solve for x
    x = 453,145.74/616.53
  6. Step 6: Final answer
    x = 734.99

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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.