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Finding the Fourth Proportional to 558.45, 769.91 and 470.97

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Solution

The fourth proportional to 558.45, 769.91 and 470.97 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.45 : 769.91 = 470.97 : x
  2. Step 2: Convert to fraction form
    558.45/769.91 = 470.97/x
  3. Step 3: Cross multiply
    558.45x = 769.91 × 470.97
  4. Step 4: Simplify right side
    558.45x = 362,602.16
  5. Step 5: Solve for x
    x = 362,602.16/558.45
  6. Step 6: Final answer
    x = 649.30

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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.