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Finding the Fourth Proportional to 581.15, 872.24 and 307.43

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Solution

The fourth proportional to 581.15, 872.24 and 307.43 is: 461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.15 : 872.24 = 307.43 : x
  2. Step 2: Convert to fraction form
    581.15/872.24 = 307.43/x
  3. Step 3: Cross multiply
    581.15x = 872.24 × 307.43
  4. Step 4: Simplify right side
    581.15x = 268,146.84
  5. Step 5: Solve for x
    x = 268,146.84/581.15
  6. Step 6: Final answer
    x = 461.41

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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.