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Finding the Fourth Proportional to 565.33, 846.78 and 348.25

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Solution

The fourth proportional to 565.33, 846.78 and 348.25 is: 521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.33 : 846.78 = 348.25 : x
  2. Step 2: Convert to fraction form
    565.33/846.78 = 348.25/x
  3. Step 3: Cross multiply
    565.33x = 846.78 × 348.25
  4. Step 4: Simplify right side
    565.33x = 294,891.14
  5. Step 5: Solve for x
    x = 294,891.14/565.33
  6. Step 6: Final answer
    x = 521.63

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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.