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Finding the Fourth Proportional to 407.16, 561.70 and 320.09

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Solution

The fourth proportional to 407.16, 561.70 and 320.09 is: 441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.16 : 561.70 = 320.09 : x
  2. Step 2: Convert to fraction form
    407.16/561.70 = 320.09/x
  3. Step 3: Cross multiply
    407.16x = 561.70 × 320.09
  4. Step 4: Simplify right side
    407.16x = 179,794.55
  5. Step 5: Solve for x
    x = 179,794.55/407.16
  6. Step 6: Final answer
    x = 441.58

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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.