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Finding the Fourth Proportional to 488.92, 674.04 and 414.94

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Solution

The fourth proportional to 488.92, 674.04 and 414.94 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.92 : 674.04 = 414.94 : x
  2. Step 2: Convert to fraction form
    488.92/674.04 = 414.94/x
  3. Step 3: Cross multiply
    488.92x = 674.04 × 414.94
  4. Step 4: Simplify right side
    488.92x = 279,686.16
  5. Step 5: Solve for x
    x = 279,686.16/488.92
  6. Step 6: Final answer
    x = 572.05

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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.