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Finding the Fourth Proportional to 430.38, 646.02 and 379.35

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Solution

The fourth proportional to 430.38, 646.02 and 379.35 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 646.02 = 379.35 : x
  2. Step 2: Convert to fraction form
    430.38/646.02 = 379.35/x
  3. Step 3: Cross multiply
    430.38x = 646.02 × 379.35
  4. Step 4: Simplify right side
    430.38x = 245,067.69
  5. Step 5: Solve for x
    x = 245,067.69/430.38
  6. Step 6: Final answer
    x = 569.42

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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.