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Finding the Fourth Proportional to 409.82, 565.39 and 407.99

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Solution

The fourth proportional to 409.82, 565.39 and 407.99 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 565.39 = 407.99 : x
  2. Step 2: Convert to fraction form
    409.82/565.39 = 407.99/x
  3. Step 3: Cross multiply
    409.82x = 565.39 × 407.99
  4. Step 4: Simplify right side
    409.82x = 230,673.47
  5. Step 5: Solve for x
    x = 230,673.47/409.82
  6. Step 6: Final answer
    x = 562.87

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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.