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Finding the Fourth Proportional to 409.42, 612.93 and 235.56

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Solution

The fourth proportional to 409.42, 612.93 and 235.56 is: 352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 612.93 = 235.56 : x
  2. Step 2: Convert to fraction form
    409.42/612.93 = 235.56/x
  3. Step 3: Cross multiply
    409.42x = 612.93 × 235.56
  4. Step 4: Simplify right side
    409.42x = 144,380.53
  5. Step 5: Solve for x
    x = 144,380.53/409.42
  6. Step 6: Final answer
    x = 352.65

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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.