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Finding the Fourth Proportional to 652.93, 978.70 and 241.80

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Solution

The fourth proportional to 652.93, 978.70 and 241.80 is: 362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.93 : 978.70 = 241.80 : x
  2. Step 2: Convert to fraction form
    652.93/978.70 = 241.80/x
  3. Step 3: Cross multiply
    652.93x = 978.70 × 241.80
  4. Step 4: Simplify right side
    652.93x = 236,649.66
  5. Step 5: Solve for x
    x = 236,649.66/652.93
  6. Step 6: Final answer
    x = 362.44

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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.