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Finding the Fourth Proportional to 652.55, 978.81 and 220.01

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Solution

The fourth proportional to 652.55, 978.81 and 220.01 is: 330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.55 : 978.81 = 220.01 : x
  2. Step 2: Convert to fraction form
    652.55/978.81 = 220.01/x
  3. Step 3: Cross multiply
    652.55x = 978.81 × 220.01
  4. Step 4: Simplify right side
    652.55x = 215,343.09
  5. Step 5: Solve for x
    x = 215,343.09/652.55
  6. Step 6: Final answer
    x = 330.00

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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.