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Finding the Fourth Proportional to 434.42, 651.13 and 214.57

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Solution

The fourth proportional to 434.42, 651.13 and 214.57 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.42 : 651.13 = 214.57 : x
  2. Step 2: Convert to fraction form
    434.42/651.13 = 214.57/x
  3. Step 3: Cross multiply
    434.42x = 651.13 × 214.57
  4. Step 4: Simplify right side
    434.42x = 139,713.24
  5. Step 5: Solve for x
    x = 139,713.24/434.42
  6. Step 6: Final answer
    x = 321.61

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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.