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Finding the Fourth Proportional to 487.68, 731.44 and 305.20

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Solution

The fourth proportional to 487.68, 731.44 and 305.20 is: 457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.68 : 731.44 = 305.20 : x
  2. Step 2: Convert to fraction form
    487.68/731.44 = 305.20/x
  3. Step 3: Cross multiply
    487.68x = 731.44 × 305.20
  4. Step 4: Simplify right side
    487.68x = 223,235.49
  5. Step 5: Solve for x
    x = 223,235.49/487.68
  6. Step 6: Final answer
    x = 457.75

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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.