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Finding the Fourth Proportional to 903.68, 1,354.82 and 416.60

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Solution

The fourth proportional to 903.68, 1,354.82 and 416.60 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.68 : 1,354.82 = 416.60 : x
  2. Step 2: Convert to fraction form
    903.68/1,354.82 = 416.60/x
  3. Step 3: Cross multiply
    903.68x = 1,354.82 × 416.60
  4. Step 4: Simplify right side
    903.68x = 564,418.01
  5. Step 5: Solve for x
    x = 564,418.01/903.68
  6. Step 6: Final answer
    x = 624.58

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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.