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Finding the Fourth Proportional to 581.53, 871.71 and 365.26

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Solution

The fourth proportional to 581.53, 871.71 and 365.26 is: 547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.53 : 871.71 = 365.26 : x
  2. Step 2: Convert to fraction form
    581.53/871.71 = 365.26/x
  3. Step 3: Cross multiply
    581.53x = 871.71 × 365.26
  4. Step 4: Simplify right side
    581.53x = 318,400.79
  5. Step 5: Solve for x
    x = 318,400.79/581.53
  6. Step 6: Final answer
    x = 547.52

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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.