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Finding the Fourth Proportional to 713.68, 984.95 and 433.89

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Solution

The fourth proportional to 713.68, 984.95 and 433.89 is: 598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 984.95 = 433.89 : x
  2. Step 2: Convert to fraction form
    713.68/984.95 = 433.89/x
  3. Step 3: Cross multiply
    713.68x = 984.95 × 433.89
  4. Step 4: Simplify right side
    713.68x = 427,359.96
  5. Step 5: Solve for x
    x = 427,359.96/713.68
  6. Step 6: Final answer
    x = 598.81

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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.