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Finding the Fourth Proportional to 417.51, 576.09 and 299.70

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Solution

The fourth proportional to 417.51, 576.09 and 299.70 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.51 : 576.09 = 299.70 : x
  2. Step 2: Convert to fraction form
    417.51/576.09 = 299.70/x
  3. Step 3: Cross multiply
    417.51x = 576.09 × 299.70
  4. Step 4: Simplify right side
    417.51x = 172,654.17
  5. Step 5: Solve for x
    x = 172,654.17/417.51
  6. Step 6: Final answer
    x = 413.53

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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.