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Finding the Fourth Proportional to 403.65, 604.46 and 322.65

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Solution

The fourth proportional to 403.65, 604.46 and 322.65 is: 483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.65 : 604.46 = 322.65 : x
  2. Step 2: Convert to fraction form
    403.65/604.46 = 322.65/x
  3. Step 3: Cross multiply
    403.65x = 604.46 × 322.65
  4. Step 4: Simplify right side
    403.65x = 195,029.83
  5. Step 5: Solve for x
    x = 195,029.83/403.65
  6. Step 6: Final answer
    x = 483.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.