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Finding the Fourth Proportional to 801.34, 1,202.38 and 416.58

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Solution

The fourth proportional to 801.34, 1,202.38 and 416.58 is: 625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.34 : 1,202.38 = 416.58 : x
  2. Step 2: Convert to fraction form
    801.34/1,202.38 = 416.58/x
  3. Step 3: Cross multiply
    801.34x = 1,202.38 × 416.58
  4. Step 4: Simplify right side
    801.34x = 500,887.46
  5. Step 5: Solve for x
    x = 500,887.46/801.34
  6. Step 6: Final answer
    x = 625.06

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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.