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Finding the Fourth Proportional to 507.98, 701.01 and 311.48

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Solution

The fourth proportional to 507.98, 701.01 and 311.48 is: 429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 701.01 = 311.48 : x
  2. Step 2: Convert to fraction form
    507.98/701.01 = 311.48/x
  3. Step 3: Cross multiply
    507.98x = 701.01 × 311.48
  4. Step 4: Simplify right side
    507.98x = 218,347.09
  5. Step 5: Solve for x
    x = 218,347.09/507.98
  6. Step 6: Final answer
    x = 429.84

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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.