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Finding the Fourth Proportional to 601.23, 901.76 and 499.17

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Solution

The fourth proportional to 601.23, 901.76 and 499.17 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.23 : 901.76 = 499.17 : x
  2. Step 2: Convert to fraction form
    601.23/901.76 = 499.17/x
  3. Step 3: Cross multiply
    601.23x = 901.76 × 499.17
  4. Step 4: Simplify right side
    601.23x = 450,131.54
  5. Step 5: Solve for x
    x = 450,131.54/601.23
  6. Step 6: Final answer
    x = 748.68

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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.