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Finding the Fourth Proportional to 580.10, 869.24 and 348.44

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Solution

The fourth proportional to 580.10, 869.24 and 348.44 is: 522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 869.24 = 348.44 : x
  2. Step 2: Convert to fraction form
    580.10/869.24 = 348.44/x
  3. Step 3: Cross multiply
    580.10x = 869.24 × 348.44
  4. Step 4: Simplify right side
    580.10x = 302,881.03
  5. Step 5: Solve for x
    x = 302,881.03/580.10
  6. Step 6: Final answer
    x = 522.12

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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.