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Finding the Fourth Proportional to 417.83, 624.92 and 244.08

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Solution

The fourth proportional to 417.83, 624.92 and 244.08 is: 365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.83 : 624.92 = 244.08 : x
  2. Step 2: Convert to fraction form
    417.83/624.92 = 244.08/x
  3. Step 3: Cross multiply
    417.83x = 624.92 × 244.08
  4. Step 4: Simplify right side
    417.83x = 152,529.25
  5. Step 5: Solve for x
    x = 152,529.25/417.83
  6. Step 6: Final answer
    x = 365.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.