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Finding the Fourth Proportional to 905.04, 1,357.41 and 417.99

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Solution

The fourth proportional to 905.04, 1,357.41 and 417.99 is: 626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,357.41 = 417.99 : x
  2. Step 2: Convert to fraction form
    905.04/1,357.41 = 417.99/x
  3. Step 3: Cross multiply
    905.04x = 1,357.41 × 417.99
  4. Step 4: Simplify right side
    905.04x = 567,383.81
  5. Step 5: Solve for x
    x = 567,383.81/905.04
  6. Step 6: Final answer
    x = 626.92

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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.