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Finding the Fourth Proportional to 709.23, 978.70 and 414.66

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Solution

The fourth proportional to 709.23, 978.70 and 414.66 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.23 : 978.70 = 414.66 : x
  2. Step 2: Convert to fraction form
    709.23/978.70 = 414.66/x
  3. Step 3: Cross multiply
    709.23x = 978.70 × 414.66
  4. Step 4: Simplify right side
    709.23x = 405,827.74
  5. Step 5: Solve for x
    x = 405,827.74/709.23
  6. Step 6: Final answer
    x = 572.21

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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.