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Finding the Fourth Proportional to 532.39, 798.09 and 301.45

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Solution

The fourth proportional to 532.39, 798.09 and 301.45 is: 451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.39 : 798.09 = 301.45 : x
  2. Step 2: Convert to fraction form
    532.39/798.09 = 301.45/x
  3. Step 3: Cross multiply
    532.39x = 798.09 × 301.45
  4. Step 4: Simplify right side
    532.39x = 240,584.23
  5. Step 5: Solve for x
    x = 240,584.23/532.39
  6. Step 6: Final answer
    x = 451.89

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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.