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Finding the Fourth Proportional to 587.49, 810.82 and 338.76

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Solution

The fourth proportional to 587.49, 810.82 and 338.76 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.49 : 810.82 = 338.76 : x
  2. Step 2: Convert to fraction form
    587.49/810.82 = 338.76/x
  3. Step 3: Cross multiply
    587.49x = 810.82 × 338.76
  4. Step 4: Simplify right side
    587.49x = 274,673.81
  5. Step 5: Solve for x
    x = 274,673.81/587.49
  6. Step 6: Final answer
    x = 467.54

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Why These Related Problems?

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