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Finding the Fourth Proportional to 374.26, 561.84 and 314.14

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Solution

The fourth proportional to 374.26, 561.84 and 314.14 is: 471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.26 : 561.84 = 314.14 : x
  2. Step 2: Convert to fraction form
    374.26/561.84 = 314.14/x
  3. Step 3: Cross multiply
    374.26x = 561.84 × 314.14
  4. Step 4: Simplify right side
    374.26x = 176,496.42
  5. Step 5: Solve for x
    x = 176,496.42/374.26
  6. Step 6: Final answer
    x = 471.59

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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.