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Finding the Fourth Proportional to 903.48, 1,355.19 and 416.53

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Solution

The fourth proportional to 903.48, 1,355.19 and 416.53 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.48 : 1,355.19 = 416.53 : x
  2. Step 2: Convert to fraction form
    903.48/1,355.19 = 416.53/x
  3. Step 3: Cross multiply
    903.48x = 1,355.19 × 416.53
  4. Step 4: Simplify right side
    903.48x = 564,474.94
  5. Step 5: Solve for x
    x = 564,474.94/903.48
  6. Step 6: Final answer
    x = 624.78

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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.