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Finding the Fourth Proportional to 417.64, 626.47 and 174.17

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Solution

The fourth proportional to 417.64, 626.47 and 174.17 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.64 : 626.47 = 174.17 : x
  2. Step 2: Convert to fraction form
    417.64/626.47 = 174.17/x
  3. Step 3: Cross multiply
    417.64x = 626.47 × 174.17
  4. Step 4: Simplify right side
    417.64x = 109,109.89
  5. Step 5: Solve for x
    x = 109,109.89/417.64
  6. Step 6: Final answer
    x = 261.25

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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.