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Finding the Fourth Proportional to 903.23, 1,354.41 and 416.33

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Solution

The fourth proportional to 903.23, 1,354.41 and 416.33 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.23 : 1,354.41 = 416.33 : x
  2. Step 2: Convert to fraction form
    903.23/1,354.41 = 416.33/x
  3. Step 3: Cross multiply
    903.23x = 1,354.41 × 416.33
  4. Step 4: Simplify right side
    903.23x = 563,874.74
  5. Step 5: Solve for x
    x = 563,874.74/903.23
  6. Step 6: Final answer
    x = 624.29

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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.