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Finding the Fourth Proportional to 477.44, 716.96 and 417.09

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Solution

The fourth proportional to 477.44, 716.96 and 417.09 is: 626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.44 : 716.96 = 417.09 : x
  2. Step 2: Convert to fraction form
    477.44/716.96 = 417.09/x
  3. Step 3: Cross multiply
    477.44x = 716.96 × 417.09
  4. Step 4: Simplify right side
    477.44x = 299,034.76
  5. Step 5: Solve for x
    x = 299,034.76/477.44
  6. Step 6: Final answer
    x = 626.34

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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.