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Finding the Fourth Proportional to 410.78, 566.88 and 233.78

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Solution

The fourth proportional to 410.78, 566.88 and 233.78 is: 322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 566.88 = 233.78 : x
  2. Step 2: Convert to fraction form
    410.78/566.88 = 233.78/x
  3. Step 3: Cross multiply
    410.78x = 566.88 × 233.78
  4. Step 4: Simplify right side
    410.78x = 132,526.00
  5. Step 5: Solve for x
    x = 132,526.00/410.78
  6. Step 6: Final answer
    x = 322.62

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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.