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Finding the Fourth Proportional to 340.20, 510.42 and 313.80

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Solution

The fourth proportional to 340.20, 510.42 and 313.80 is: 470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.20 : 510.42 = 313.80 : x
  2. Step 2: Convert to fraction form
    340.20/510.42 = 313.80/x
  3. Step 3: Cross multiply
    340.20x = 510.42 × 313.80
  4. Step 4: Simplify right side
    340.20x = 160,169.80
  5. Step 5: Solve for x
    x = 160,169.80/340.20
  6. Step 6: Final answer
    x = 470.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.