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Finding the Fourth Proportional to 978.23, 1,467.35 and 328.95

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Solution

The fourth proportional to 978.23, 1,467.35 and 328.95 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.23 : 1,467.35 = 328.95 : x
  2. Step 2: Convert to fraction form
    978.23/1,467.35 = 328.95/x
  3. Step 3: Cross multiply
    978.23x = 1,467.35 × 328.95
  4. Step 4: Simplify right side
    978.23x = 482,683.14
  5. Step 5: Solve for x
    x = 482,683.14/978.23
  6. Step 6: Final answer
    x = 493.43

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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.