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Finding the Fourth Proportional to 523.84, 785.69 and 328.86

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Solution

The fourth proportional to 523.84, 785.69 and 328.86 is: 493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 785.69 = 328.86 : x
  2. Step 2: Convert to fraction form
    523.84/785.69 = 328.86/x
  3. Step 3: Cross multiply
    523.84x = 785.69 × 328.86
  4. Step 4: Simplify right side
    523.84x = 258,382.01
  5. Step 5: Solve for x
    x = 258,382.01/523.84
  6. Step 6: Final answer
    x = 493.25

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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.