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Finding the Fourth Proportional to 417.83, 627.33 and 410.54

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Solution

The fourth proportional to 417.83, 627.33 and 410.54 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.83 : 627.33 = 410.54 : x
  2. Step 2: Convert to fraction form
    417.83/627.33 = 410.54/x
  3. Step 3: Cross multiply
    417.83x = 627.33 × 410.54
  4. Step 4: Simplify right side
    417.83x = 257,544.06
  5. Step 5: Solve for x
    x = 257,544.06/417.83
  6. Step 6: Final answer
    x = 616.38

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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.