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Finding the Fourth Proportional to 586.36, 809.02 and 409.13

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Solution

The fourth proportional to 586.36, 809.02 and 409.13 is: 564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.36 : 809.02 = 409.13 : x
  2. Step 2: Convert to fraction form
    586.36/809.02 = 409.13/x
  3. Step 3: Cross multiply
    586.36x = 809.02 × 409.13
  4. Step 4: Simplify right side
    586.36x = 330,993.85
  5. Step 5: Solve for x
    x = 330,993.85/586.36
  6. Step 6: Final answer
    x = 564.49

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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.