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Finding the Fourth Proportional to 652.14, 978.26 and 410.20

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Solution

The fourth proportional to 652.14, 978.26 and 410.20 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 978.26 = 410.20 : x
  2. Step 2: Convert to fraction form
    652.14/978.26 = 410.20/x
  3. Step 3: Cross multiply
    652.14x = 978.26 × 410.20
  4. Step 4: Simplify right side
    652.14x = 401,282.25
  5. Step 5: Solve for x
    x = 401,282.25/652.14
  6. Step 6: Final answer
    x = 615.33

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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.