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Finding the Fourth Proportional to 713.66, 984.91 and 433.82

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Solution

The fourth proportional to 713.66, 984.91 and 433.82 is: 598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 984.91 = 433.82 : x
  2. Step 2: Convert to fraction form
    713.66/984.91 = 433.82/x
  3. Step 3: Cross multiply
    713.66x = 984.91 × 433.82
  4. Step 4: Simplify right side
    713.66x = 427,275.03
  5. Step 5: Solve for x
    x = 427,275.03/713.66
  6. Step 6: Final answer
    x = 598.71

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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.