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Finding the Fourth Proportional to 713.00, 984.15 and 433.35

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Solution

The fourth proportional to 713.00, 984.15 and 433.35 is: 598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.00 : 984.15 = 433.35 : x
  2. Step 2: Convert to fraction form
    713.00/984.15 = 433.35/x
  3. Step 3: Cross multiply
    713.00x = 984.15 × 433.35
  4. Step 4: Simplify right side
    713.00x = 426,481.40
  5. Step 5: Solve for x
    x = 426,481.40/713.00
  6. Step 6: Final answer
    x = 598.15

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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.