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Finding the Fourth Proportional to 559.76, 771.75 and 409.91

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Solution

The fourth proportional to 559.76, 771.75 and 409.91 is: 565.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.76 : 771.75 = 409.91 : x
  2. Step 2: Convert to fraction form
    559.76/771.75 = 409.91/x
  3. Step 3: Cross multiply
    559.76x = 771.75 × 409.91
  4. Step 4: Simplify right side
    559.76x = 316,349.68
  5. Step 5: Solve for x
    x = 316,349.68/559.76
  6. Step 6: Final answer
    x = 565.15

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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.