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Finding the Fourth Proportional to 514.92, 710.56 and 293.86

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Solution

The fourth proportional to 514.92, 710.56 and 293.86 is: 405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.92 : 710.56 = 293.86 : x
  2. Step 2: Convert to fraction form
    514.92/710.56 = 293.86/x
  3. Step 3: Cross multiply
    514.92x = 710.56 × 293.86
  4. Step 4: Simplify right side
    514.92x = 208,805.16
  5. Step 5: Solve for x
    x = 208,805.16/514.92
  6. Step 6: Final answer
    x = 405.51

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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.