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Finding the Fourth Proportional to 978.34, 1,467.60 and 329.14

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Solution

The fourth proportional to 978.34, 1,467.60 and 329.14 is: 493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.34 : 1,467.60 = 329.14 : x
  2. Step 2: Convert to fraction form
    978.34/1,467.60 = 329.14/x
  3. Step 3: Cross multiply
    978.34x = 1,467.60 × 329.14
  4. Step 4: Simplify right side
    978.34x = 483,045.86
  5. Step 5: Solve for x
    x = 483,045.86/978.34
  6. Step 6: Final answer
    x = 493.74

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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.