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Finding the Fourth Proportional to 559.74, 772.36 and 311.01

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Solution

The fourth proportional to 559.74, 772.36 and 311.01 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.74 : 772.36 = 311.01 : x
  2. Step 2: Convert to fraction form
    559.74/772.36 = 311.01/x
  3. Step 3: Cross multiply
    559.74x = 772.36 × 311.01
  4. Step 4: Simplify right side
    559.74x = 240,215.40
  5. Step 5: Solve for x
    x = 240,215.40/559.74
  6. Step 6: Final answer
    x = 429.16

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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.