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Finding the Fourth Proportional to 581.14, 871.73 and 292.42

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Solution

The fourth proportional to 581.14, 871.73 and 292.42 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.14 : 871.73 = 292.42 : x
  2. Step 2: Convert to fraction form
    581.14/871.73 = 292.42/x
  3. Step 3: Cross multiply
    581.14x = 871.73 × 292.42
  4. Step 4: Simplify right side
    581.14x = 254,911.29
  5. Step 5: Solve for x
    x = 254,911.29/581.14
  6. Step 6: Final answer
    x = 438.64

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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.