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Finding the Fourth Proportional to 600.49, 901.47 and 499

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Solution

The fourth proportional to 600.49, 901.47 and 499 is: 749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.49 : 901.47 = 499 : x
  2. Step 2: Convert to fraction form
    600.49/901.47 = 499/x
  3. Step 3: Cross multiply
    600.49x = 901.47 × 499
  4. Step 4: Simplify right side
    600.49x = 449,833.53
  5. Step 5: Solve for x
    x = 449,833.53/600.49
  6. Step 6: Final answer
    x = 749.11

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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.