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Finding the Fourth Proportional to 415.78, 574.02 and 369.65

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Solution

The fourth proportional to 415.78, 574.02 and 369.65 is: 510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 574.02 = 369.65 : x
  2. Step 2: Convert to fraction form
    415.78/574.02 = 369.65/x
  3. Step 3: Cross multiply
    415.78x = 574.02 × 369.65
  4. Step 4: Simplify right side
    415.78x = 212,186.49
  5. Step 5: Solve for x
    x = 212,186.49/415.78
  6. Step 6: Final answer
    x = 510.34

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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.