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Finding the Fourth Proportional to 515.28, 710.96 and 294.19

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Solution

The fourth proportional to 515.28, 710.96 and 294.19 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.28 : 710.96 = 294.19 : x
  2. Step 2: Convert to fraction form
    515.28/710.96 = 294.19/x
  3. Step 3: Cross multiply
    515.28x = 710.96 × 294.19
  4. Step 4: Simplify right side
    515.28x = 209,157.32
  5. Step 5: Solve for x
    x = 209,157.32/515.28
  6. Step 6: Final answer
    x = 405.91

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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.