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Finding the Fourth Proportional to 709.34, 978.95 and 414.70

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Solution

The fourth proportional to 709.34, 978.95 and 414.70 is: 572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.34 : 978.95 = 414.70 : x
  2. Step 2: Convert to fraction form
    709.34/978.95 = 414.70/x
  3. Step 3: Cross multiply
    709.34x = 978.95 × 414.70
  4. Step 4: Simplify right side
    709.34x = 405,970.57
  5. Step 5: Solve for x
    x = 405,970.57/709.34
  6. Step 6: Final answer
    x = 572.32

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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.