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Finding the Fourth Proportional to 713.62, 984.53 and 433.75

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Solution

The fourth proportional to 713.62, 984.53 and 433.75 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.62 : 984.53 = 433.75 : x
  2. Step 2: Convert to fraction form
    713.62/984.53 = 433.75/x
  3. Step 3: Cross multiply
    713.62x = 984.53 × 433.75
  4. Step 4: Simplify right side
    713.62x = 427,037.72
  5. Step 5: Solve for x
    x = 427,037.72/713.62
  6. Step 6: Final answer
    x = 598.41

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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.