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Finding the Fourth Proportional to 902.93, 1,354.14 and 286.52

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Solution

The fourth proportional to 902.93, 1,354.14 and 286.52 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.93 : 1,354.14 = 286.52 : x
  2. Step 2: Convert to fraction form
    902.93/1,354.14 = 286.52/x
  3. Step 3: Cross multiply
    902.93x = 1,354.14 × 286.52
  4. Step 4: Simplify right side
    902.93x = 387,981.42
  5. Step 5: Solve for x
    x = 387,981.42/902.93
  6. Step 6: Final answer
    x = 429.69

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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.