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Finding the Fourth Proportional to 523.53, 785.98 and 442.89

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Solution

The fourth proportional to 523.53, 785.98 and 442.89 is: 664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 785.98 = 442.89 : x
  2. Step 2: Convert to fraction form
    523.53/785.98 = 442.89/x
  3. Step 3: Cross multiply
    523.53x = 785.98 × 442.89
  4. Step 4: Simplify right side
    523.53x = 348,098.75
  5. Step 5: Solve for x
    x = 348,098.75/523.53
  6. Step 6: Final answer
    x = 664.91

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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.