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Finding the Fourth Proportional to 410.68, 566.71 and 233.66

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Solution

The fourth proportional to 410.68, 566.71 and 233.66 is: 322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 566.71 = 233.66 : x
  2. Step 2: Convert to fraction form
    410.68/566.71 = 233.66/x
  3. Step 3: Cross multiply
    410.68x = 566.71 × 233.66
  4. Step 4: Simplify right side
    410.68x = 132,417.46
  5. Step 5: Solve for x
    x = 132,417.46/410.68
  6. Step 6: Final answer
    x = 322.43

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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.