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Finding the Fourth Proportional to 515.38, 711.13 and 340.63

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Solution

The fourth proportional to 515.38, 711.13 and 340.63 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.38 : 711.13 = 340.63 : x
  2. Step 2: Convert to fraction form
    515.38/711.13 = 340.63/x
  3. Step 3: Cross multiply
    515.38x = 711.13 × 340.63
  4. Step 4: Simplify right side
    515.38x = 242,232.21
  5. Step 5: Solve for x
    x = 242,232.21/515.38
  6. Step 6: Final answer
    x = 470.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.