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Finding the Fourth Proportional to 652.38, 978.76 and 364.02

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Solution

The fourth proportional to 652.38, 978.76 and 364.02 is: 546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.38 : 978.76 = 364.02 : x
  2. Step 2: Convert to fraction form
    652.38/978.76 = 364.02/x
  3. Step 3: Cross multiply
    652.38x = 978.76 × 364.02
  4. Step 4: Simplify right side
    652.38x = 356,288.22
  5. Step 5: Solve for x
    x = 356,288.22/652.38
  6. Step 6: Final answer
    x = 546.14

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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.