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Finding the Fourth Proportional to 507.89, 701.32 and 311.47

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Solution

The fourth proportional to 507.89, 701.32 and 311.47 is: 430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.89 : 701.32 = 311.47 : x
  2. Step 2: Convert to fraction form
    507.89/701.32 = 311.47/x
  3. Step 3: Cross multiply
    507.89x = 701.32 × 311.47
  4. Step 4: Simplify right side
    507.89x = 218,440.14
  5. Step 5: Solve for x
    x = 218,440.14/507.89
  6. Step 6: Final answer
    x = 430.09

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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.