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Finding the Fourth Proportional to 349.62, 522.24 and 262.50

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Solution

The fourth proportional to 349.62, 522.24 and 262.50 is: 392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.62 : 522.24 = 262.50 : x
  2. Step 2: Convert to fraction form
    349.62/522.24 = 262.50/x
  3. Step 3: Cross multiply
    349.62x = 522.24 × 262.50
  4. Step 4: Simplify right side
    349.62x = 137,088
  5. Step 5: Solve for x
    x = 137,088/349.62
  6. Step 6: Final answer
    x = 392.11

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Why These Related Problems?

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