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Finding the Fourth Proportional to 565.42, 848.21 and 214.14

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Solution

The fourth proportional to 565.42, 848.21 and 214.14 is: 321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 848.21 = 214.14 : x
  2. Step 2: Convert to fraction form
    565.42/848.21 = 214.14/x
  3. Step 3: Cross multiply
    565.42x = 848.21 × 214.14
  4. Step 4: Simplify right side
    565.42x = 181,635.69
  5. Step 5: Solve for x
    x = 181,635.69/565.42
  6. Step 6: Final answer
    x = 321.24

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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.