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Finding the Fourth Proportional to 417.44, 625.36 and 314.84

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Solution

The fourth proportional to 417.44, 625.36 and 314.84 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 625.36 = 314.84 : x
  2. Step 2: Convert to fraction form
    417.44/625.36 = 314.84/x
  3. Step 3: Cross multiply
    417.44x = 625.36 × 314.84
  4. Step 4: Simplify right side
    417.44x = 196,888.34
  5. Step 5: Solve for x
    x = 196,888.34/417.44
  6. Step 6: Final answer
    x = 471.66

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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.