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Finding the Fourth Proportional to 403.19, 604.16 and 322.01

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Solution

The fourth proportional to 403.19, 604.16 and 322.01 is: 482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.19 : 604.16 = 322.01 : x
  2. Step 2: Convert to fraction form
    403.19/604.16 = 322.01/x
  3. Step 3: Cross multiply
    403.19x = 604.16 × 322.01
  4. Step 4: Simplify right side
    403.19x = 194,543.95
  5. Step 5: Solve for x
    x = 194,543.95/403.19
  6. Step 6: Final answer
    x = 482.51

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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.