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Finding the Fourth Proportional to 340.48, 470.01 and 230.02

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Solution

The fourth proportional to 340.48, 470.01 and 230.02 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.48 : 470.01 = 230.02 : x
  2. Step 2: Convert to fraction form
    340.48/470.01 = 230.02/x
  3. Step 3: Cross multiply
    340.48x = 470.01 × 230.02
  4. Step 4: Simplify right side
    340.48x = 108,110.53
  5. Step 5: Solve for x
    x = 108,110.53/340.48
  6. Step 6: Final answer
    x = 317.53

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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.