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Finding the Fourth Proportional to 709.04, 978.25 and 414.10

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Solution

The fourth proportional to 709.04, 978.25 and 414.10 is: 571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.04 : 978.25 = 414.10 : x
  2. Step 2: Convert to fraction form
    709.04/978.25 = 414.10/x
  3. Step 3: Cross multiply
    709.04x = 978.25 × 414.10
  4. Step 4: Simplify right side
    709.04x = 405,088.79
  5. Step 5: Solve for x
    x = 405,088.79/709.04
  6. Step 6: Final answer
    x = 571.32

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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.