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Finding the Fourth Proportional to 507.98, 701.05 and 311.47

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Solution

The fourth proportional to 507.98, 701.05 and 311.47 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 701.05 = 311.47 : x
  2. Step 2: Convert to fraction form
    507.98/701.05 = 311.47/x
  3. Step 3: Cross multiply
    507.98x = 701.05 × 311.47
  4. Step 4: Simplify right side
    507.98x = 218,356.04
  5. Step 5: Solve for x
    x = 218,356.04/507.98
  6. Step 6: Final answer
    x = 429.85

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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.