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Finding the Fourth Proportional to 374.47, 561.52 and 218.35

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Solution

The fourth proportional to 374.47, 561.52 and 218.35 is: 327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.47 : 561.52 = 218.35 : x
  2. Step 2: Convert to fraction form
    374.47/561.52 = 218.35/x
  3. Step 3: Cross multiply
    374.47x = 561.52 × 218.35
  4. Step 4: Simplify right side
    374.47x = 122,607.89
  5. Step 5: Solve for x
    x = 122,607.89/374.47
  6. Step 6: Final answer
    x = 327.42

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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.