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Finding the Fourth Proportional to 669.92, 1,005.52 and 328.16

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Solution

The fourth proportional to 669.92, 1,005.52 and 328.16 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 1,005.52 = 328.16 : x
  2. Step 2: Convert to fraction form
    669.92/1,005.52 = 328.16/x
  3. Step 3: Cross multiply
    669.92x = 1,005.52 × 328.16
  4. Step 4: Simplify right side
    669.92x = 329,971.44
  5. Step 5: Solve for x
    x = 329,971.44/669.92
  6. Step 6: Final answer
    x = 492.55

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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.