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Finding the Fourth Proportional to 559.72, 771.06 and 456.04

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Solution

The fourth proportional to 559.72, 771.06 and 456.04 is: 628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.72 : 771.06 = 456.04 : x
  2. Step 2: Convert to fraction form
    559.72/771.06 = 456.04/x
  3. Step 3: Cross multiply
    559.72x = 771.06 × 456.04
  4. Step 4: Simplify right side
    559.72x = 351,634.20
  5. Step 5: Solve for x
    x = 351,634.20/559.72
  6. Step 6: Final answer
    x = 628.23

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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.