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Finding the Fourth Proportional to 417.14, 575.30 and 299.06

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Solution

The fourth proportional to 417.14, 575.30 and 299.06 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.14 : 575.30 = 299.06 : x
  2. Step 2: Convert to fraction form
    417.14/575.30 = 299.06/x
  3. Step 3: Cross multiply
    417.14x = 575.30 × 299.06
  4. Step 4: Simplify right side
    417.14x = 172,049.22
  5. Step 5: Solve for x
    x = 172,049.22/417.14
  6. Step 6: Final answer
    x = 412.45

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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.