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Finding the Fourth Proportional to 531.12, 732.94 and 310.11

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Solution

The fourth proportional to 531.12, 732.94 and 310.11 is: 427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.12 : 732.94 = 310.11 : x
  2. Step 2: Convert to fraction form
    531.12/732.94 = 310.11/x
  3. Step 3: Cross multiply
    531.12x = 732.94 × 310.11
  4. Step 4: Simplify right side
    531.12x = 227,292.02
  5. Step 5: Solve for x
    x = 227,292.02/531.12
  6. Step 6: Final answer
    x = 427.95

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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.