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Finding the Fourth Proportional to 349.85, 522.58 and 348.23

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Solution

The fourth proportional to 349.85, 522.58 and 348.23 is: 520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.85 : 522.58 = 348.23 : x
  2. Step 2: Convert to fraction form
    349.85/522.58 = 348.23/x
  3. Step 3: Cross multiply
    349.85x = 522.58 × 348.23
  4. Step 4: Simplify right side
    349.85x = 181,978.03
  5. Step 5: Solve for x
    x = 181,978.03/349.85
  6. Step 6: Final answer
    x = 520.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.