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Finding the Fourth Proportional to 978.44, 1,466.71 and 328.82

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Solution

The fourth proportional to 978.44, 1,466.71 and 328.82 is: 492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.44 : 1,466.71 = 328.82 : x
  2. Step 2: Convert to fraction form
    978.44/1,466.71 = 328.82/x
  3. Step 3: Cross multiply
    978.44x = 1,466.71 × 328.82
  4. Step 4: Simplify right side
    978.44x = 482,275.43
  5. Step 5: Solve for x
    x = 482,275.43/978.44
  6. Step 6: Final answer
    x = 492.90

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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.