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Finding the Fourth Proportional to 417.14, 575.30 and 299.13

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Solution

The fourth proportional to 417.14, 575.30 and 299.13 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.14 : 575.30 = 299.13 : x
  2. Step 2: Convert to fraction form
    417.14/575.30 = 299.13/x
  3. Step 3: Cross multiply
    417.14x = 575.30 × 299.13
  4. Step 4: Simplify right side
    417.14x = 172,087.99
  5. Step 5: Solve for x
    x = 172,087.99/417.14
  6. Step 6: Final answer
    x = 412.55

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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.