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Finding the Fourth Proportional to 417.86, 627.14 and 201.45

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Solution

The fourth proportional to 417.86, 627.14 and 201.45 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 627.14 = 201.45 : x
  2. Step 2: Convert to fraction form
    417.86/627.14 = 201.45/x
  3. Step 3: Cross multiply
    417.86x = 627.14 × 201.45
  4. Step 4: Simplify right side
    417.86x = 126,340.21
  5. Step 5: Solve for x
    x = 126,340.21/417.86
  6. Step 6: Final answer
    x = 302.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.