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Finding the Fourth Proportional to 709.16, 978.48 and 414.32

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Solution

The fourth proportional to 709.16, 978.48 and 414.32 is: 571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.16 : 978.48 = 414.32 : x
  2. Step 2: Convert to fraction form
    709.16/978.48 = 414.32/x
  3. Step 3: Cross multiply
    709.16x = 978.48 × 414.32
  4. Step 4: Simplify right side
    709.16x = 405,398.94
  5. Step 5: Solve for x
    x = 405,398.94/709.16
  6. Step 6: Final answer
    x = 571.66

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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.