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Finding the Fourth Proportional to 587.47, 810.89 and 338.96

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Solution

The fourth proportional to 587.47, 810.89 and 338.96 is: 467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.47 : 810.89 = 338.96 : x
  2. Step 2: Convert to fraction form
    587.47/810.89 = 338.96/x
  3. Step 3: Cross multiply
    587.47x = 810.89 × 338.96
  4. Step 4: Simplify right side
    587.47x = 274,854.37
  5. Step 5: Solve for x
    x = 274,854.37/587.47
  6. Step 6: Final answer
    x = 467.86

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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.