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Finding the Fourth Proportional to 978.51, 1,467.37 and 362.00

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Solution

The fourth proportional to 978.51, 1,467.37 and 362.00 is: 542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.51 : 1,467.37 = 362.00 : x
  2. Step 2: Convert to fraction form
    978.51/1,467.37 = 362.00/x
  3. Step 3: Cross multiply
    978.51x = 1,467.37 × 362.00
  4. Step 4: Simplify right side
    978.51x = 531,191.04
  5. Step 5: Solve for x
    x = 531,191.04/978.51
  6. Step 6: Final answer
    x = 542.86

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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.