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Finding the Fourth Proportional to 565.89, 848.95 and 219.34

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Solution

The fourth proportional to 565.89, 848.95 and 219.34 is: 329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 848.95 = 219.34 : x
  2. Step 2: Convert to fraction form
    565.89/848.95 = 219.34/x
  3. Step 3: Cross multiply
    565.89x = 848.95 × 219.34
  4. Step 4: Simplify right side
    565.89x = 186,209.21
  5. Step 5: Solve for x
    x = 186,209.21/565.89
  6. Step 6: Final answer
    x = 329.06

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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.