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Finding the Fourth Proportional to 531.06, 732.78 and 310.02

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Solution

The fourth proportional to 531.06, 732.78 and 310.02 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.06 : 732.78 = 310.02 : x
  2. Step 2: Convert to fraction form
    531.06/732.78 = 310.02/x
  3. Step 3: Cross multiply
    531.06x = 732.78 × 310.02
  4. Step 4: Simplify right side
    531.06x = 227,176.46
  5. Step 5: Solve for x
    x = 227,176.46/531.06
  6. Step 6: Final answer
    x = 427.78

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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.