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Finding the Fourth Proportional to 600.19, 898.37 and 322.16

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Solution

The fourth proportional to 600.19, 898.37 and 322.16 is: 482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.19 : 898.37 = 322.16 : x
  2. Step 2: Convert to fraction form
    600.19/898.37 = 322.16/x
  3. Step 3: Cross multiply
    600.19x = 898.37 × 322.16
  4. Step 4: Simplify right side
    600.19x = 289,420.85
  5. Step 5: Solve for x
    x = 289,420.85/600.19
  6. Step 6: Final answer
    x = 482.21

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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.