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Finding the Fourth Proportional to 515.02, 711.03 and 340.78

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Solution

The fourth proportional to 515.02, 711.03 and 340.78 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.02 : 711.03 = 340.78 : x
  2. Step 2: Convert to fraction form
    515.02/711.03 = 340.78/x
  3. Step 3: Cross multiply
    515.02x = 711.03 × 340.78
  4. Step 4: Simplify right side
    515.02x = 242,304.80
  5. Step 5: Solve for x
    x = 242,304.80/515.02
  6. Step 6: Final answer
    x = 470.48

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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.