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Finding the Fourth Proportional to 462.26, 693.58 and 219

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Solution

The fourth proportional to 462.26, 693.58 and 219 is: 328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 693.58 = 219 : x
  2. Step 2: Convert to fraction form
    462.26/693.58 = 219/x
  3. Step 3: Cross multiply
    462.26x = 693.58 × 219
  4. Step 4: Simplify right side
    462.26x = 151,894.02
  5. Step 5: Solve for x
    x = 151,894.02/462.26
  6. Step 6: Final answer
    x = 328.59

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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.