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Finding the Fourth Proportional to 709.51, 978.99 and 414.72

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Solution

The fourth proportional to 709.51, 978.99 and 414.72 is: 572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.51 : 978.99 = 414.72 : x
  2. Step 2: Convert to fraction form
    709.51/978.99 = 414.72/x
  3. Step 3: Cross multiply
    709.51x = 978.99 × 414.72
  4. Step 4: Simplify right side
    709.51x = 406,005.18
  5. Step 5: Solve for x
    x = 406,005.18/709.51
  6. Step 6: Final answer
    x = 572.23

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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.