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Finding the Fourth Proportional to 522.02, 720.28 and 354.03

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Solution

The fourth proportional to 522.02, 720.28 and 354.03 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.02 : 720.28 = 354.03 : x
  2. Step 2: Convert to fraction form
    522.02/720.28 = 354.03/x
  3. Step 3: Cross multiply
    522.02x = 720.28 × 354.03
  4. Step 4: Simplify right side
    522.02x = 255,000.73
  5. Step 5: Solve for x
    x = 255,000.73/522.02
  6. Step 6: Final answer
    x = 488.49

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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.