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Finding the Fourth Proportional to 523.90, 723.04 and 383.95

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Solution

The fourth proportional to 523.90, 723.04 and 383.95 is: 529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 723.04 = 383.95 : x
  2. Step 2: Convert to fraction form
    523.90/723.04 = 383.95/x
  3. Step 3: Cross multiply
    523.90x = 723.04 × 383.95
  4. Step 4: Simplify right side
    523.90x = 277,611.21
  5. Step 5: Solve for x
    x = 277,611.21/523.90
  6. Step 6: Final answer
    x = 529.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.