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Finding the Fourth Proportional to 905.15, 1,357.20 and 417.59

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Solution

The fourth proportional to 905.15, 1,357.20 and 417.59 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.15 : 1,357.20 = 417.59 : x
  2. Step 2: Convert to fraction form
    905.15/1,357.20 = 417.59/x
  3. Step 3: Cross multiply
    905.15x = 1,357.20 × 417.59
  4. Step 4: Simplify right side
    905.15x = 566,746.36
  5. Step 5: Solve for x
    x = 566,746.36/905.15
  6. Step 6: Final answer
    x = 626.14

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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.