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Finding the Fourth Proportional to 978.15, 1,467.80 and 362.29

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Solution

The fourth proportional to 978.15, 1,467.80 and 362.29 is: 543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.15 : 1,467.80 = 362.29 : x
  2. Step 2: Convert to fraction form
    978.15/1,467.80 = 362.29/x
  3. Step 3: Cross multiply
    978.15x = 1,467.80 × 362.29
  4. Step 4: Simplify right side
    978.15x = 531,769.26
  5. Step 5: Solve for x
    x = 531,769.26/978.15
  6. Step 6: Final answer
    x = 543.65

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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.