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Finding the Fourth Proportional to 709.08, 978.47 and 410.34

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Solution

The fourth proportional to 709.08, 978.47 and 410.34 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.08 : 978.47 = 410.34 : x
  2. Step 2: Convert to fraction form
    709.08/978.47 = 410.34/x
  3. Step 3: Cross multiply
    709.08x = 978.47 × 410.34
  4. Step 4: Simplify right side
    709.08x = 401,503.33
  5. Step 5: Solve for x
    x = 401,503.33/709.08
  6. Step 6: Final answer
    x = 566.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.