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Finding the Fourth Proportional to 600.44, 900.42 and 322.58

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Solution

The fourth proportional to 600.44, 900.42 and 322.58 is: 483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.44 : 900.42 = 322.58 : x
  2. Step 2: Convert to fraction form
    600.44/900.42 = 322.58/x
  3. Step 3: Cross multiply
    600.44x = 900.42 × 322.58
  4. Step 4: Simplify right side
    600.44x = 290,457.48
  5. Step 5: Solve for x
    x = 290,457.48/600.44
  6. Step 6: Final answer
    x = 483.74

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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.