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Finding the Fourth Proportional to 522.90, 721.44 and 348.30

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Solution

The fourth proportional to 522.90, 721.44 and 348.30 is: 480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 721.44 = 348.30 : x
  2. Step 2: Convert to fraction form
    522.90/721.44 = 348.30/x
  3. Step 3: Cross multiply
    522.90x = 721.44 × 348.30
  4. Step 4: Simplify right side
    522.90x = 251,277.55
  5. Step 5: Solve for x
    x = 251,277.55/522.90
  6. Step 6: Final answer
    x = 480.55

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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.