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Finding the Fourth Proportional to 410.79, 567.02 and 263.62

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Solution

The fourth proportional to 410.79, 567.02 and 263.62 is: 363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.79 : 567.02 = 263.62 : x
  2. Step 2: Convert to fraction form
    410.79/567.02 = 263.62/x
  3. Step 3: Cross multiply
    410.79x = 567.02 × 263.62
  4. Step 4: Simplify right side
    410.79x = 149,477.81
  5. Step 5: Solve for x
    x = 149,477.81/410.79
  6. Step 6: Final answer
    x = 363.88

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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.