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Finding the Fourth Proportional to 531.09, 732.88 and 309.99

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Solution

The fourth proportional to 531.09, 732.88 and 309.99 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.09 : 732.88 = 309.99 : x
  2. Step 2: Convert to fraction form
    531.09/732.88 = 309.99/x
  3. Step 3: Cross multiply
    531.09x = 732.88 × 309.99
  4. Step 4: Simplify right side
    531.09x = 227,188.61
  5. Step 5: Solve for x
    x = 227,188.61/531.09
  6. Step 6: Final answer
    x = 427.78

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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.