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Finding the Fourth Proportional to 438.02, 603.87 and 290.60

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Solution

The fourth proportional to 438.02, 603.87 and 290.60 is: 400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.02 : 603.87 = 290.60 : x
  2. Step 2: Convert to fraction form
    438.02/603.87 = 290.60/x
  3. Step 3: Cross multiply
    438.02x = 603.87 × 290.60
  4. Step 4: Simplify right side
    438.02x = 175,481.60
  5. Step 5: Solve for x
    x = 175,481.60/438.02
  6. Step 6: Final answer
    x = 400.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.