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Finding the Fourth Proportional to 978.94, 1,467.35 and 362.13

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Solution

The fourth proportional to 978.94, 1,467.35 and 362.13 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.94 : 1,467.35 = 362.13 : x
  2. Step 2: Convert to fraction form
    978.94/1,467.35 = 362.13/x
  3. Step 3: Cross multiply
    978.94x = 1,467.35 × 362.13
  4. Step 4: Simplify right side
    978.94x = 531,365.50
  5. Step 5: Solve for x
    x = 531,365.50/978.94
  6. Step 6: Final answer
    x = 542.80

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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.