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Finding the Fourth Proportional to 902.64, 1,353.66 and 286.18

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Solution

The fourth proportional to 902.64, 1,353.66 and 286.18 is: 429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.64 : 1,353.66 = 286.18 : x
  2. Step 2: Convert to fraction form
    902.64/1,353.66 = 286.18/x
  3. Step 3: Cross multiply
    902.64x = 1,353.66 × 286.18
  4. Step 4: Simplify right side
    902.64x = 387,390.42
  5. Step 5: Solve for x
    x = 387,390.42/902.64
  6. Step 6: Final answer
    x = 429.17

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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.