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Finding the Fourth Proportional to 713.35, 984.12 and 418.49

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Solution

The fourth proportional to 713.35, 984.12 and 418.49 is: 577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.35 : 984.12 = 418.49 : x
  2. Step 2: Convert to fraction form
    713.35/984.12 = 418.49/x
  3. Step 3: Cross multiply
    713.35x = 984.12 × 418.49
  4. Step 4: Simplify right side
    713.35x = 411,841.06
  5. Step 5: Solve for x
    x = 411,841.06/713.35
  6. Step 6: Final answer
    x = 577.33

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1.5x scale

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.