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Finding the Fourth Proportional to 313.52, 433.07 and 240.74

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Solution

The fourth proportional to 313.52, 433.07 and 240.74 is: 332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 433.07 = 240.74 : x
  2. Step 2: Convert to fraction form
    313.52/433.07 = 240.74/x
  3. Step 3: Cross multiply
    313.52x = 433.07 × 240.74
  4. Step 4: Simplify right side
    313.52x = 104,253.90
  5. Step 5: Solve for x
    x = 104,253.90/313.52
  6. Step 6: Final answer
    x = 332.52

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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.