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Finding the Fourth Proportional to 905.06, 1,356.57 and 417.11

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Solution

The fourth proportional to 905.06, 1,356.57 and 417.11 is: 625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.06 : 1,356.57 = 417.11 : x
  2. Step 2: Convert to fraction form
    905.06/1,356.57 = 417.11/x
  3. Step 3: Cross multiply
    905.06x = 1,356.57 × 417.11
  4. Step 4: Simplify right side
    905.06x = 565,832.13
  5. Step 5: Solve for x
    x = 565,832.13/905.06
  6. Step 6: Final answer
    x = 625.19

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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.