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Finding the Fourth Proportional to 349.61, 524.52 and 228.11

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Solution

The fourth proportional to 349.61, 524.52 and 228.11 is: 342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.61 : 524.52 = 228.11 : x
  2. Step 2: Convert to fraction form
    349.61/524.52 = 228.11/x
  3. Step 3: Cross multiply
    349.61x = 524.52 × 228.11
  4. Step 4: Simplify right side
    349.61x = 119,645.63
  5. Step 5: Solve for x
    x = 119,645.63/349.61
  6. Step 6: Final answer
    x = 342.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.