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Finding the Fourth Proportional to 430.43, 645.65 and 339.61

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Solution

The fourth proportional to 430.43, 645.65 and 339.61 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.43 : 645.65 = 339.61 : x
  2. Step 2: Convert to fraction form
    430.43/645.65 = 339.61/x
  3. Step 3: Cross multiply
    430.43x = 645.65 × 339.61
  4. Step 4: Simplify right side
    430.43x = 219,269.20
  5. Step 5: Solve for x
    x = 219,269.20/430.43
  6. Step 6: Final answer
    x = 509.42

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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.