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Finding the Fourth Proportional to 407.49, 561.97 and 320.01

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Solution

The fourth proportional to 407.49, 561.97 and 320.01 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.49 : 561.97 = 320.01 : x
  2. Step 2: Convert to fraction form
    407.49/561.97 = 320.01/x
  3. Step 3: Cross multiply
    407.49x = 561.97 × 320.01
  4. Step 4: Simplify right side
    407.49x = 179,836.02
  5. Step 5: Solve for x
    x = 179,836.02/407.49
  6. Step 6: Final answer
    x = 441.33

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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.