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Finding the Fourth Proportional to 700.16, 1,049.32 and 288.80

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Solution

The fourth proportional to 700.16, 1,049.32 and 288.80 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.16 : 1,049.32 = 288.80 : x
  2. Step 2: Convert to fraction form
    700.16/1,049.32 = 288.80/x
  3. Step 3: Cross multiply
    700.16x = 1,049.32 × 288.80
  4. Step 4: Simplify right side
    700.16x = 303,043.62
  5. Step 5: Solve for x
    x = 303,043.62/700.16
  6. Step 6: Final answer
    x = 432.82

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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.