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Finding the Fourth Proportional to 292.40, 403.58 and 262.85

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Solution

The fourth proportional to 292.40, 403.58 and 262.85 is: 362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.40 : 403.58 = 262.85 : x
  2. Step 2: Convert to fraction form
    292.40/403.58 = 262.85/x
  3. Step 3: Cross multiply
    292.40x = 403.58 × 262.85
  4. Step 4: Simplify right side
    292.40x = 106,079.64
  5. Step 5: Solve for x
    x = 106,079.64/292.40
  6. Step 6: Final answer
    x = 362.78

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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.