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Finding the Fourth Proportional to 713.04, 984.06 and 433.56

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Solution

The fourth proportional to 713.04, 984.06 and 433.56 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.04 : 984.06 = 433.56 : x
  2. Step 2: Convert to fraction form
    713.04/984.06 = 433.56/x
  3. Step 3: Cross multiply
    713.04x = 984.06 × 433.56
  4. Step 4: Simplify right side
    713.04x = 426,649.05
  5. Step 5: Solve for x
    x = 426,649.05/713.04
  6. Step 6: Final answer
    x = 598.35

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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.