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Finding the Fourth Proportional to 700.42, 1,050.66 and 213.42

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Solution

The fourth proportional to 700.42, 1,050.66 and 213.42 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.42 : 1,050.66 = 213.42 : x
  2. Step 2: Convert to fraction form
    700.42/1,050.66 = 213.42/x
  3. Step 3: Cross multiply
    700.42x = 1,050.66 × 213.42
  4. Step 4: Simplify right side
    700.42x = 224,231.86
  5. Step 5: Solve for x
    x = 224,231.86/700.42
  6. Step 6: Final answer
    x = 320.14

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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.