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Finding the Fourth Proportional to 523.68, 785.65 and 369.91

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Solution

The fourth proportional to 523.68, 785.65 and 369.91 is: 554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 785.65 = 369.91 : x
  2. Step 2: Convert to fraction form
    523.68/785.65 = 369.91/x
  3. Step 3: Cross multiply
    523.68x = 785.65 × 369.91
  4. Step 4: Simplify right side
    523.68x = 290,619.79
  5. Step 5: Solve for x
    x = 290,619.79/523.68
  6. Step 6: Final answer
    x = 554.96

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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.