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Finding the Fourth Proportional to 587.74, 809.31 and 541.30

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Solution

The fourth proportional to 587.74, 809.31 and 541.30 is: 745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.74 : 809.31 = 541.30 : x
  2. Step 2: Convert to fraction form
    587.74/809.31 = 541.30/x
  3. Step 3: Cross multiply
    587.74x = 809.31 × 541.30
  4. Step 4: Simplify right side
    587.74x = 438,079.50
  5. Step 5: Solve for x
    x = 438,079.50/587.74
  6. Step 6: Final answer
    x = 745.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.