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Finding the Fourth Proportional to 517.70, 715.74 and 393.16

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Solution

The fourth proportional to 517.70, 715.74 and 393.16 is: 543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 715.74 = 393.16 : x
  2. Step 2: Convert to fraction form
    517.70/715.74 = 393.16/x
  3. Step 3: Cross multiply
    517.70x = 715.74 × 393.16
  4. Step 4: Simplify right side
    517.70x = 281,400.34
  5. Step 5: Solve for x
    x = 281,400.34/517.70
  6. Step 6: Final answer
    x = 543.56

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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.