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Finding the Fourth Proportional to 586.77, 809.56 and 411.81

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Solution

The fourth proportional to 586.77, 809.56 and 411.81 is: 568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.77 : 809.56 = 411.81 : x
  2. Step 2: Convert to fraction form
    586.77/809.56 = 411.81/x
  3. Step 3: Cross multiply
    586.77x = 809.56 × 411.81
  4. Step 4: Simplify right side
    586.77x = 333,384.90
  5. Step 5: Solve for x
    x = 333,384.90/586.77
  6. Step 6: Final answer
    x = 568.17

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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.