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Finding the Fourth Proportional to 713.46, 984.33 and 433.62

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Solution

The fourth proportional to 713.46, 984.33 and 433.62 is: 598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.46 : 984.33 = 433.62 : x
  2. Step 2: Convert to fraction form
    713.46/984.33 = 433.62/x
  3. Step 3: Cross multiply
    713.46x = 984.33 × 433.62
  4. Step 4: Simplify right side
    713.46x = 426,825.17
  5. Step 5: Solve for x
    x = 426,825.17/713.46
  6. Step 6: Final answer
    x = 598.25

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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.