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Finding the Fourth Proportional to 410.50, 566.51 and 233.45

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Solution

The fourth proportional to 410.50, 566.51 and 233.45 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 566.51 = 233.45 : x
  2. Step 2: Convert to fraction form
    410.50/566.51 = 233.45/x
  3. Step 3: Cross multiply
    410.50x = 566.51 × 233.45
  4. Step 4: Simplify right side
    410.50x = 132,251.76
  5. Step 5: Solve for x
    x = 132,251.76/410.50
  6. Step 6: Final answer
    x = 322.17

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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.