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Finding the Fourth Proportional to 713.16, 983.77 and 433.23

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Solution

The fourth proportional to 713.16, 983.77 and 433.23 is: 597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 983.77 = 433.23 : x
  2. Step 2: Convert to fraction form
    713.16/983.77 = 433.23/x
  3. Step 3: Cross multiply
    713.16x = 983.77 × 433.23
  4. Step 4: Simplify right side
    713.16x = 426,198.68
  5. Step 5: Solve for x
    x = 426,198.68/713.16
  6. Step 6: Final answer
    x = 597.62

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Double scale
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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.