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Finding the Fourth Proportional to 586.56, 806.24 and 475.84

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Solution

The fourth proportional to 586.56, 806.24 and 475.84 is: 654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 806.24 = 475.84 : x
  2. Step 2: Convert to fraction form
    586.56/806.24 = 475.84/x
  3. Step 3: Cross multiply
    586.56x = 806.24 × 475.84
  4. Step 4: Simplify right side
    586.56x = 383,641.24
  5. Step 5: Solve for x
    x = 383,641.24/586.56
  6. Step 6: Final answer
    x = 654.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.