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Finding the Fourth Proportional to 905.07, 1,356.57 and 417.59

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Solution

The fourth proportional to 905.07, 1,356.57 and 417.59 is: 625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.07 : 1,356.57 = 417.59 : x
  2. Step 2: Convert to fraction form
    905.07/1,356.57 = 417.59/x
  3. Step 3: Cross multiply
    905.07x = 1,356.57 × 417.59
  4. Step 4: Simplify right side
    905.07x = 566,490.07
  5. Step 5: Solve for x
    x = 566,490.07/905.07
  6. Step 6: Final answer
    x = 625.91

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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.