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Finding the Fourth Proportional to 487.37, 731.35 and 305.12

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Solution

The fourth proportional to 487.37, 731.35 and 305.12 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.37 : 731.35 = 305.12 : x
  2. Step 2: Convert to fraction form
    487.37/731.35 = 305.12/x
  3. Step 3: Cross multiply
    487.37x = 731.35 × 305.12
  4. Step 4: Simplify right side
    487.37x = 223,146.24
  5. Step 5: Solve for x
    x = 223,146.24/487.37
  6. Step 6: Final answer
    x = 457.86

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