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Finding the Fourth Proportional to 587.59, 810.87 and 338.90

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Solution

The fourth proportional to 587.59, 810.87 and 338.90 is: 467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.59 : 810.87 = 338.90 : x
  2. Step 2: Convert to fraction form
    587.59/810.87 = 338.90/x
  3. Step 3: Cross multiply
    587.59x = 810.87 × 338.90
  4. Step 4: Simplify right side
    587.59x = 274,798.52
  5. Step 5: Solve for x
    x = 274,798.52/587.59
  6. Step 6: Final answer
    x = 467.67

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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.