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Finding the Fourth Proportional to 407.14, 561.78 and 232.48

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Solution

The fourth proportional to 407.14, 561.78 and 232.48 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 561.78 = 232.48 : x
  2. Step 2: Convert to fraction form
    407.14/561.78 = 232.48/x
  3. Step 3: Cross multiply
    407.14x = 561.78 × 232.48
  4. Step 4: Simplify right side
    407.14x = 130,602.61
  5. Step 5: Solve for x
    x = 130,602.61/407.14
  6. Step 6: Final answer
    x = 320.78

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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.