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Finding the Fourth Proportional to 487.74, 732.72 and 293.24

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Solution

The fourth proportional to 487.74, 732.72 and 293.24 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.74 : 732.72 = 293.24 : x
  2. Step 2: Convert to fraction form
    487.74/732.72 = 293.24/x
  3. Step 3: Cross multiply
    487.74x = 732.72 × 293.24
  4. Step 4: Simplify right side
    487.74x = 214,862.81
  5. Step 5: Solve for x
    x = 214,862.81/487.74
  6. Step 6: Final answer
    x = 440.53

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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.