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Finding the Fourth Proportional to 559.47, 772.01 and 310.78

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Solution

The fourth proportional to 559.47, 772.01 and 310.78 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.47 : 772.01 = 310.78 : x
  2. Step 2: Convert to fraction form
    559.47/772.01 = 310.78/x
  3. Step 3: Cross multiply
    559.47x = 772.01 × 310.78
  4. Step 4: Simplify right side
    559.47x = 239,925.84
  5. Step 5: Solve for x
    x = 239,925.84/559.47
  6. Step 6: Final answer
    x = 428.84

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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.