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Finding the Fourth Proportional to 531.14, 732.83 and 310.14

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Solution

The fourth proportional to 531.14, 732.83 and 310.14 is: 427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.14 : 732.83 = 310.14 : x
  2. Step 2: Convert to fraction form
    531.14/732.83 = 310.14/x
  3. Step 3: Cross multiply
    531.14x = 732.83 × 310.14
  4. Step 4: Simplify right side
    531.14x = 227,278.35
  5. Step 5: Solve for x
    x = 227,278.35/531.14
  6. Step 6: Final answer
    x = 427.91

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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.