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Finding the Fourth Proportional to 419.88, 579.64 and 322.07

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Solution

The fourth proportional to 419.88, 579.64 and 322.07 is: 444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.88 : 579.64 = 322.07 : x
  2. Step 2: Convert to fraction form
    419.88/579.64 = 322.07/x
  3. Step 3: Cross multiply
    419.88x = 579.64 × 322.07
  4. Step 4: Simplify right side
    419.88x = 186,684.65
  5. Step 5: Solve for x
    x = 186,684.65/419.88
  6. Step 6: Final answer
    x = 444.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.