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Finding the Fourth Proportional to 600.89, 900.18 and 463.46

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Solution

The fourth proportional to 600.89, 900.18 and 463.46 is: 694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 900.18 = 463.46 : x
  2. Step 2: Convert to fraction form
    600.89/900.18 = 463.46/x
  3. Step 3: Cross multiply
    600.89x = 900.18 × 463.46
  4. Step 4: Simplify right side
    600.89x = 417,192.92
  5. Step 5: Solve for x
    x = 417,192.92/600.89
  6. Step 6: Final answer
    x = 694.30

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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.