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Finding the Fourth Proportional to 713.97, 984.96 and 434.16

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Solution

The fourth proportional to 713.97, 984.96 and 434.16 is: 598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.97 : 984.96 = 434.16 : x
  2. Step 2: Convert to fraction form
    713.97/984.96 = 434.16/x
  3. Step 3: Cross multiply
    713.97x = 984.96 × 434.16
  4. Step 4: Simplify right side
    713.97x = 427,630.23
  5. Step 5: Solve for x
    x = 427,630.23/713.97
  6. Step 6: Final answer
    x = 598.95

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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.