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Finding the Fourth Proportional to 507.50, 700.34 and 311.02

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Solution

The fourth proportional to 507.50, 700.34 and 311.02 is: 429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 700.34 = 311.02 : x
  2. Step 2: Convert to fraction form
    507.50/700.34 = 311.02/x
  3. Step 3: Cross multiply
    507.50x = 700.34 × 311.02
  4. Step 4: Simplify right side
    507.50x = 217,816.44
  5. Step 5: Solve for x
    x = 217,816.44/507.50
  6. Step 6: Final answer
    x = 429.20

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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.