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Finding the Fourth Proportional to 559.77, 772.53 and 311.10

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Solution

The fourth proportional to 559.77, 772.53 and 311.10 is: 429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.77 : 772.53 = 311.10 : x
  2. Step 2: Convert to fraction form
    559.77/772.53 = 311.10/x
  3. Step 3: Cross multiply
    559.77x = 772.53 × 311.10
  4. Step 4: Simplify right side
    559.77x = 240,334.08
  5. Step 5: Solve for x
    x = 240,334.08/559.77
  6. Step 6: Final answer
    x = 429.34

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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.