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Finding the Fourth Proportional to 563.16, 842.76 and 487.08

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Solution

The fourth proportional to 563.16, 842.76 and 487.08 is: 728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.16 : 842.76 = 487.08 : x
  2. Step 2: Convert to fraction form
    563.16/842.76 = 487.08/x
  3. Step 3: Cross multiply
    563.16x = 842.76 × 487.08
  4. Step 4: Simplify right side
    563.16x = 410,491.54
  5. Step 5: Solve for x
    x = 410,491.54/563.16
  6. Step 6: Final answer
    x = 728.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.