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Finding the Fourth Proportional to 568.08, 852.21 and 465.80

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Solution

The fourth proportional to 568.08, 852.21 and 465.80 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 852.21 = 465.80 : x
  2. Step 2: Convert to fraction form
    568.08/852.21 = 465.80/x
  3. Step 3: Cross multiply
    568.08x = 852.21 × 465.80
  4. Step 4: Simplify right side
    568.08x = 396,955.16
  5. Step 5: Solve for x
    x = 396,955.16/568.08
  6. Step 6: Final answer
    x = 698.77

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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.