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Finding the Fourth Proportional to 417.17, 575.72 and 299.15

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Solution

The fourth proportional to 417.17, 575.72 and 299.15 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.17 : 575.72 = 299.15 : x
  2. Step 2: Convert to fraction form
    417.17/575.72 = 299.15/x
  3. Step 3: Cross multiply
    417.17x = 575.72 × 299.15
  4. Step 4: Simplify right side
    417.17x = 172,222.26
  5. Step 5: Solve for x
    x = 172,222.26/417.17
  6. Step 6: Final answer
    x = 412.84

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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.