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Finding the Fourth Proportional to 654.18, 980.33 and 365.01

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Solution

The fourth proportional to 654.18, 980.33 and 365.01 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.18 : 980.33 = 365.01 : x
  2. Step 2: Convert to fraction form
    654.18/980.33 = 365.01/x
  3. Step 3: Cross multiply
    654.18x = 980.33 × 365.01
  4. Step 4: Simplify right side
    654.18x = 357,828.43
  5. Step 5: Solve for x
    x = 357,828.43/654.18
  6. Step 6: Final answer
    x = 546.99

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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.