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Finding the Fourth Proportional to 340.29, 469.77 and 229.95

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Solution

The fourth proportional to 340.29, 469.77 and 229.95 is: 317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.29 : 469.77 = 229.95 : x
  2. Step 2: Convert to fraction form
    340.29/469.77 = 229.95/x
  3. Step 3: Cross multiply
    340.29x = 469.77 × 229.95
  4. Step 4: Simplify right side
    340.29x = 108,023.61
  5. Step 5: Solve for x
    x = 108,023.61/340.29
  6. Step 6: Final answer
    x = 317.45

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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.