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Finding the Fourth Proportional to 374.54, 562 and 209.91

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Solution

The fourth proportional to 374.54, 562 and 209.91 is: 314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.54 : 562 = 209.91 : x
  2. Step 2: Convert to fraction form
    374.54/562 = 209.91/x
  3. Step 3: Cross multiply
    374.54x = 562 × 209.91
  4. Step 4: Simplify right side
    374.54x = 117,969.42
  5. Step 5: Solve for x
    x = 117,969.42/374.54
  6. Step 6: Final answer
    x = 314.97

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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.