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Finding the Fourth Proportional to 537.84, 742.17 and 313.74

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Solution

The fourth proportional to 537.84, 742.17 and 313.74 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 742.17 = 313.74 : x
  2. Step 2: Convert to fraction form
    537.84/742.17 = 313.74/x
  3. Step 3: Cross multiply
    537.84x = 742.17 × 313.74
  4. Step 4: Simplify right side
    537.84x = 232,846.85
  5. Step 5: Solve for x
    x = 232,846.85/537.84
  6. Step 6: Final answer
    x = 432.93

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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.