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Finding the Fourth Proportional to 429.79, 645.92 and 286.42

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Solution

The fourth proportional to 429.79, 645.92 and 286.42 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.79 : 645.92 = 286.42 : x
  2. Step 2: Convert to fraction form
    429.79/645.92 = 286.42/x
  3. Step 3: Cross multiply
    429.79x = 645.92 × 286.42
  4. Step 4: Simplify right side
    429.79x = 185,004.41
  5. Step 5: Solve for x
    x = 185,004.41/429.79
  6. Step 6: Final answer
    x = 430.45

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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.