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Finding the Fourth Proportional to 565.74, 848.34 and 392.27

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Solution

The fourth proportional to 565.74, 848.34 and 392.27 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.74 : 848.34 = 392.27 : x
  2. Step 2: Convert to fraction form
    565.74/848.34 = 392.27/x
  3. Step 3: Cross multiply
    565.74x = 848.34 × 392.27
  4. Step 4: Simplify right side
    565.74x = 332,774.09
  5. Step 5: Solve for x
    x = 332,774.09/565.74
  6. Step 6: Final answer
    x = 588.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.