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Finding the Fourth Proportional to 581.65, 871.94 and 376.31

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Solution

The fourth proportional to 581.65, 871.94 and 376.31 is: 564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.65 : 871.94 = 376.31 : x
  2. Step 2: Convert to fraction form
    581.65/871.94 = 376.31/x
  3. Step 3: Cross multiply
    581.65x = 871.94 × 376.31
  4. Step 4: Simplify right side
    581.65x = 328,122.86
  5. Step 5: Solve for x
    x = 328,122.86/581.65
  6. Step 6: Final answer
    x = 564.13

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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.