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Finding the Fourth Proportional to 374.86, 561.66 and 266.47

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Solution

The fourth proportional to 374.86, 561.66 and 266.47 is: 399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.86 : 561.66 = 266.47 : x
  2. Step 2: Convert to fraction form
    374.86/561.66 = 266.47/x
  3. Step 3: Cross multiply
    374.86x = 561.66 × 266.47
  4. Step 4: Simplify right side
    374.86x = 149,665.54
  5. Step 5: Solve for x
    x = 149,665.54/374.86
  6. Step 6: Final answer
    x = 399.26

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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.