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Finding the Fourth Proportional to 430.26, 642.92 and 292.15

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Solution

The fourth proportional to 430.26, 642.92 and 292.15 is: 436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.26 : 642.92 = 292.15 : x
  2. Step 2: Convert to fraction form
    430.26/642.92 = 292.15/x
  3. Step 3: Cross multiply
    430.26x = 642.92 × 292.15
  4. Step 4: Simplify right side
    430.26x = 187,829.08
  5. Step 5: Solve for x
    x = 187,829.08/430.26
  6. Step 6: Final answer
    x = 436.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.