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Finding the Fourth Proportional to 616.02, 922.41 and 452.94

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Solution

The fourth proportional to 616.02, 922.41 and 452.94 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 922.41 = 452.94 : x
  2. Step 2: Convert to fraction form
    616.02/922.41 = 452.94/x
  3. Step 3: Cross multiply
    616.02x = 922.41 × 452.94
  4. Step 4: Simplify right side
    616.02x = 417,796.39
  5. Step 5: Solve for x
    x = 417,796.39/616.02
  6. Step 6: Final answer
    x = 678.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.