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Finding the Fourth Proportional to 531.11, 732.93 and 310.07

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Solution

The fourth proportional to 531.11, 732.93 and 310.07 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.11 : 732.93 = 310.07 : x
  2. Step 2: Convert to fraction form
    531.11/732.93 = 310.07/x
  3. Step 3: Cross multiply
    531.11x = 732.93 × 310.07
  4. Step 4: Simplify right side
    531.11x = 227,259.61
  5. Step 5: Solve for x
    x = 227,259.61/531.11
  6. Step 6: Final answer
    x = 427.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.