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Finding the Fourth Proportional to 936.79, 1,404.21 and 417.08

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Solution

The fourth proportional to 936.79, 1,404.21 and 417.08 is: 625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.79 : 1,404.21 = 417.08 : x
  2. Step 2: Convert to fraction form
    936.79/1,404.21 = 417.08/x
  3. Step 3: Cross multiply
    936.79x = 1,404.21 × 417.08
  4. Step 4: Simplify right side
    936.79x = 585,667.91
  5. Step 5: Solve for x
    x = 585,667.91/936.79
  6. Step 6: Final answer
    x = 625.19

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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.