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Finding the Fourth Proportional to 559.67, 772.32 and 310.98

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Solution

The fourth proportional to 559.67, 772.32 and 310.98 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.67 : 772.32 = 310.98 : x
  2. Step 2: Convert to fraction form
    559.67/772.32 = 310.98/x
  3. Step 3: Cross multiply
    559.67x = 772.32 × 310.98
  4. Step 4: Simplify right side
    559.67x = 240,176.07
  5. Step 5: Solve for x
    x = 240,176.07/559.67
  6. Step 6: Final answer
    x = 429.14

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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.