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Finding the Fourth Proportional to 410.95, 567.03 and 263.53

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Solution

The fourth proportional to 410.95, 567.03 and 263.53 is: 363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.95 : 567.03 = 263.53 : x
  2. Step 2: Convert to fraction form
    410.95/567.03 = 263.53/x
  3. Step 3: Cross multiply
    410.95x = 567.03 × 263.53
  4. Step 4: Simplify right side
    410.95x = 149,429.42
  5. Step 5: Solve for x
    x = 149,429.42/410.95
  6. Step 6: Final answer
    x = 363.62

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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.