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Finding the Fourth Proportional to 468.52, 705.54 and 408.38

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Solution

The fourth proportional to 468.52, 705.54 and 408.38 is: 614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 705.54 = 408.38 : x
  2. Step 2: Convert to fraction form
    468.52/705.54 = 408.38/x
  3. Step 3: Cross multiply
    468.52x = 705.54 × 408.38
  4. Step 4: Simplify right side
    468.52x = 288,128.43
  5. Step 5: Solve for x
    x = 288,128.43/468.52
  6. Step 6: Final answer
    x = 614.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.