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Finding the Fourth Proportional to 417.06, 628.04 and 363.60

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Solution

The fourth proportional to 417.06, 628.04 and 363.60 is: 547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 628.04 = 363.60 : x
  2. Step 2: Convert to fraction form
    417.06/628.04 = 363.60/x
  3. Step 3: Cross multiply
    417.06x = 628.04 × 363.60
  4. Step 4: Simplify right side
    417.06x = 228,356.25
  5. Step 5: Solve for x
    x = 228,356.25/417.06
  6. Step 6: Final answer
    x = 547.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.