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Finding the Fourth Proportional to 307.72, 461.82 and 288.58

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Solution

The fourth proportional to 307.72, 461.82 and 288.58 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 461.82 = 288.58 : x
  2. Step 2: Convert to fraction form
    307.72/461.82 = 288.58/x
  3. Step 3: Cross multiply
    307.72x = 461.82 × 288.58
  4. Step 4: Simplify right side
    307.72x = 133,272.02
  5. Step 5: Solve for x
    x = 133,272.02/307.72
  6. Step 6: Final answer
    x = 433.10

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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.