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Finding the Fourth Proportional to 430.72, 645.68 and 286.56

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Solution

The fourth proportional to 430.72, 645.68 and 286.56 is: 429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 645.68 = 286.56 : x
  2. Step 2: Convert to fraction form
    430.72/645.68 = 286.56/x
  3. Step 3: Cross multiply
    430.72x = 645.68 × 286.56
  4. Step 4: Simplify right side
    430.72x = 185,026.06
  5. Step 5: Solve for x
    x = 185,026.06/430.72
  6. Step 6: Final answer
    x = 429.57

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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.