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Finding the Fourth Proportional to 559.53, 772.17 and 310.86

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Solution

The fourth proportional to 559.53, 772.17 and 310.86 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.53 : 772.17 = 310.86 : x
  2. Step 2: Convert to fraction form
    559.53/772.17 = 310.86/x
  3. Step 3: Cross multiply
    559.53x = 772.17 × 310.86
  4. Step 4: Simplify right side
    559.53x = 240,036.77
  5. Step 5: Solve for x
    x = 240,036.77/559.53
  6. Step 6: Final answer
    x = 429.00

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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.