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Finding the Fourth Proportional to 507.42, 699.48 and 310.78

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Solution

The fourth proportional to 507.42, 699.48 and 310.78 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 699.48 = 310.78 : x
  2. Step 2: Convert to fraction form
    507.42/699.48 = 310.78/x
  3. Step 3: Cross multiply
    507.42x = 699.48 × 310.78
  4. Step 4: Simplify right side
    507.42x = 217,384.39
  5. Step 5: Solve for x
    x = 217,384.39/507.42
  6. Step 6: Final answer
    x = 428.41

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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.