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Finding the Fourth Proportional to 465.24, 698.46 and 328.35

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Solution

The fourth proportional to 465.24, 698.46 and 328.35 is: 492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 698.46 = 328.35 : x
  2. Step 2: Convert to fraction form
    465.24/698.46 = 328.35/x
  3. Step 3: Cross multiply
    465.24x = 698.46 × 328.35
  4. Step 4: Simplify right side
    465.24x = 229,339.34
  5. Step 5: Solve for x
    x = 229,339.34/465.24
  6. Step 6: Final answer
    x = 492.95

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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.