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Finding the Fourth Proportional to 430.39, 645.69 and 156.49

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Solution

The fourth proportional to 430.39, 645.69 and 156.49 is: 234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.39 : 645.69 = 156.49 : x
  2. Step 2: Convert to fraction form
    430.39/645.69 = 156.49/x
  3. Step 3: Cross multiply
    430.39x = 645.69 × 156.49
  4. Step 4: Simplify right side
    430.39x = 101,044.03
  5. Step 5: Solve for x
    x = 101,044.03/430.39
  6. Step 6: Final answer
    x = 234.77

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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.