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Finding the Fourth Proportional to 565.33, 848.12 and 200.13

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Solution

The fourth proportional to 565.33, 848.12 and 200.13 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.33 : 848.12 = 200.13 : x
  2. Step 2: Convert to fraction form
    565.33/848.12 = 200.13/x
  3. Step 3: Cross multiply
    565.33x = 848.12 × 200.13
  4. Step 4: Simplify right side
    565.33x = 169,734.26
  5. Step 5: Solve for x
    x = 169,734.26/565.33
  6. Step 6: Final answer
    x = 300.24

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