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Finding the Fourth Proportional to 700.22, 1,050.31 and 289.23

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Solution

The fourth proportional to 700.22, 1,050.31 and 289.23 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 1,050.31 = 289.23 : x
  2. Step 2: Convert to fraction form
    700.22/1,050.31 = 289.23/x
  3. Step 3: Cross multiply
    700.22x = 1,050.31 × 289.23
  4. Step 4: Simplify right side
    700.22x = 303,781.16
  5. Step 5: Solve for x
    x = 303,781.16/700.22
  6. Step 6: Final answer
    x = 433.84

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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.