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Finding the Fourth Proportional to 417.40, 575.98 and 251.62

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Solution

The fourth proportional to 417.40, 575.98 and 251.62 is: 347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.40 : 575.98 = 251.62 : x
  2. Step 2: Convert to fraction form
    417.40/575.98 = 251.62/x
  3. Step 3: Cross multiply
    417.40x = 575.98 × 251.62
  4. Step 4: Simplify right side
    417.40x = 144,928.09
  5. Step 5: Solve for x
    x = 144,928.09/417.40
  6. Step 6: Final answer
    x = 347.22

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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.