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Finding the Fourth Proportional to 506.38, 698.23 and 412.95

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Solution

The fourth proportional to 506.38, 698.23 and 412.95 is: 569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.38 : 698.23 = 412.95 : x
  2. Step 2: Convert to fraction form
    506.38/698.23 = 412.95/x
  3. Step 3: Cross multiply
    506.38x = 698.23 × 412.95
  4. Step 4: Simplify right side
    506.38x = 288,334.08
  5. Step 5: Solve for x
    x = 288,334.08/506.38
  6. Step 6: Final answer
    x = 569.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.