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Finding the Fourth Proportional to 581.14, 871.84 and 307.08

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Solution

The fourth proportional to 581.14, 871.84 and 307.08 is: 460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.14 : 871.84 = 307.08 : x
  2. Step 2: Convert to fraction form
    581.14/871.84 = 307.08/x
  3. Step 3: Cross multiply
    581.14x = 871.84 × 307.08
  4. Step 4: Simplify right side
    581.14x = 267,724.63
  5. Step 5: Solve for x
    x = 267,724.63/581.14
  6. Step 6: Final answer
    x = 460.69

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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.