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Finding the Fourth Proportional to 487.64, 731.88 and 305.38

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Solution

The fourth proportional to 487.64, 731.88 and 305.38 is: 458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.64 : 731.88 = 305.38 : x
  2. Step 2: Convert to fraction form
    487.64/731.88 = 305.38/x
  3. Step 3: Cross multiply
    487.64x = 731.88 × 305.38
  4. Step 4: Simplify right side
    487.64x = 223,501.51
  5. Step 5: Solve for x
    x = 223,501.51/487.64
  6. Step 6: Final answer
    x = 458.33

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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.