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Finding the Fourth Proportional to 586.62, 809.91 and 412.38

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Solution

The fourth proportional to 586.62, 809.91 and 412.38 is: 569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 809.91 = 412.38 : x
  2. Step 2: Convert to fraction form
    586.62/809.91 = 412.38/x
  3. Step 3: Cross multiply
    586.62x = 809.91 × 412.38
  4. Step 4: Simplify right side
    586.62x = 333,990.69
  5. Step 5: Solve for x
    x = 333,990.69/586.62
  6. Step 6: Final answer
    x = 569.35

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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.