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Finding the Fourth Proportional to 600.22, 900.34 and 358.30

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Solution

The fourth proportional to 600.22, 900.34 and 358.30 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.22 : 900.34 = 358.30 : x
  2. Step 2: Convert to fraction form
    600.22/900.34 = 358.30/x
  3. Step 3: Cross multiply
    600.22x = 900.34 × 358.30
  4. Step 4: Simplify right side
    600.22x = 322,591.82
  5. Step 5: Solve for x
    x = 322,591.82/600.22
  6. Step 6: Final answer
    x = 537.46

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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.