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Finding the Fourth Proportional to 586, 806.16 and 520.36

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Solution

The fourth proportional to 586, 806.16 and 520.36 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 806.16 = 520.36 : x
  2. Step 2: Convert to fraction form
    586/806.16 = 520.36/x
  3. Step 3: Cross multiply
    586x = 806.16 × 520.36
  4. Step 4: Simplify right side
    586x = 419,493.42
  5. Step 5: Solve for x
    x = 419,493.42/586
  6. Step 6: Final answer
    x = 715.86

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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.