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Finding the Fourth Proportional to 587.22, 809.16 and 546.22

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Solution

The fourth proportional to 587.22, 809.16 and 546.22 is: 752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.22 : 809.16 = 546.22 : x
  2. Step 2: Convert to fraction form
    587.22/809.16 = 546.22/x
  3. Step 3: Cross multiply
    587.22x = 809.16 × 546.22
  4. Step 4: Simplify right side
    587.22x = 441,979.38
  5. Step 5: Solve for x
    x = 441,979.38/587.22
  6. Step 6: Final answer
    x = 752.66

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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.