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Finding the Fourth Proportional to 407, 561.66 and 232.34

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Solution

The fourth proportional to 407, 561.66 and 232.34 is: 320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 561.66 = 232.34 : x
  2. Step 2: Convert to fraction form
    407/561.66 = 232.34/x
  3. Step 3: Cross multiply
    407x = 561.66 × 232.34
  4. Step 4: Simplify right side
    407x = 130,496.08
  5. Step 5: Solve for x
    x = 130,496.08/407
  6. Step 6: Final answer
    x = 320.63

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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.