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Finding the Fourth Proportional to 581.99, 871.76 and 376.65

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Solution

The fourth proportional to 581.99, 871.76 and 376.65 is: 564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.99 : 871.76 = 376.65 : x
  2. Step 2: Convert to fraction form
    581.99/871.76 = 376.65/x
  3. Step 3: Cross multiply
    581.99x = 871.76 × 376.65
  4. Step 4: Simplify right side
    581.99x = 328,349.35
  5. Step 5: Solve for x
    x = 328,349.35/581.99
  6. Step 6: Final answer
    x = 564.19

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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.