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Finding the Fourth Proportional to 654.47, 980.83 and 362.03

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Solution

The fourth proportional to 654.47, 980.83 and 362.03 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.47 : 980.83 = 362.03 : x
  2. Step 2: Convert to fraction form
    654.47/980.83 = 362.03/x
  3. Step 3: Cross multiply
    654.47x = 980.83 × 362.03
  4. Step 4: Simplify right side
    654.47x = 355,088.07
  5. Step 5: Solve for x
    x = 355,088.07/654.47
  6. Step 6: Final answer
    x = 542.56

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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.