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Finding the Fourth Proportional to 402.48, 603.48 and 286.74

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Solution

The fourth proportional to 402.48, 603.48 and 286.74 is: 429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.48 : 603.48 = 286.74 : x
  2. Step 2: Convert to fraction form
    402.48/603.48 = 286.74/x
  3. Step 3: Cross multiply
    402.48x = 603.48 × 286.74
  4. Step 4: Simplify right side
    402.48x = 173,041.86
  5. Step 5: Solve for x
    x = 173,041.86/402.48
  6. Step 6: Final answer
    x = 429.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.