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Finding the Fourth Proportional to 587.30, 810.56 and 338.57

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Solution

The fourth proportional to 587.30, 810.56 and 338.57 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.30 : 810.56 = 338.57 : x
  2. Step 2: Convert to fraction form
    587.30/810.56 = 338.57/x
  3. Step 3: Cross multiply
    587.30x = 810.56 × 338.57
  4. Step 4: Simplify right side
    587.30x = 274,434.17
  5. Step 5: Solve for x
    x = 274,434.17/587.30
  6. Step 6: Final answer
    x = 467.28

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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.