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Finding the Fourth Proportional to 713.07, 984.04 and 418.34

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Solution

The fourth proportional to 713.07, 984.04 and 418.34 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.07 : 984.04 = 418.34 : x
  2. Step 2: Convert to fraction form
    713.07/984.04 = 418.34/x
  3. Step 3: Cross multiply
    713.07x = 984.04 × 418.34
  4. Step 4: Simplify right side
    713.07x = 411,663.29
  5. Step 5: Solve for x
    x = 411,663.29/713.07
  6. Step 6: Final answer
    x = 577.32

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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.