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Finding the Fourth Proportional to 586.24, 809.94 and 412.36

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Solution

The fourth proportional to 586.24, 809.94 and 412.36 is: 569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.24 : 809.94 = 412.36 : x
  2. Step 2: Convert to fraction form
    586.24/809.94 = 412.36/x
  3. Step 3: Cross multiply
    586.24x = 809.94 × 412.36
  4. Step 4: Simplify right side
    586.24x = 333,986.86
  5. Step 5: Solve for x
    x = 333,986.86/586.24
  6. Step 6: Final answer
    x = 569.71

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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.