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Finding the Fourth Proportional to 706.50, 974.97 and 430.50

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Solution

The fourth proportional to 706.50, 974.97 and 430.50 is: 594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 974.97 = 430.50 : x
  2. Step 2: Convert to fraction form
    706.50/974.97 = 430.50/x
  3. Step 3: Cross multiply
    706.50x = 974.97 × 430.50
  4. Step 4: Simplify right side
    706.50x = 419,724.59
  5. Step 5: Solve for x
    x = 419,724.59/706.50
  6. Step 6: Final answer
    x = 594.09

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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.