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Finding the Fourth Proportional to 532.41, 798.60 and 185.74

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Solution

The fourth proportional to 532.41, 798.60 and 185.74 is: 278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.41 : 798.60 = 185.74 : x
  2. Step 2: Convert to fraction form
    532.41/798.60 = 185.74/x
  3. Step 3: Cross multiply
    532.41x = 798.60 × 185.74
  4. Step 4: Simplify right side
    532.41x = 148,327.04
  5. Step 5: Solve for x
    x = 148,327.04/532.41
  6. Step 6: Final answer
    x = 278.60

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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.