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Finding the Fourth Proportional to 407.80, 562.14 and 341.63

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Solution

The fourth proportional to 407.80, 562.14 and 341.63 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.80 : 562.14 = 341.63 : x
  2. Step 2: Convert to fraction form
    407.80/562.14 = 341.63/x
  3. Step 3: Cross multiply
    407.80x = 562.14 × 341.63
  4. Step 4: Simplify right side
    407.80x = 192,046.35
  5. Step 5: Solve for x
    x = 192,046.35/407.80
  6. Step 6: Final answer
    x = 470.93

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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.