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Finding the Fourth Proportional to 706.55, 974.87 and 423.06

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Solution

The fourth proportional to 706.55, 974.87 and 423.06 is: 583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.55 : 974.87 = 423.06 : x
  2. Step 2: Convert to fraction form
    706.55/974.87 = 423.06/x
  3. Step 3: Cross multiply
    706.55x = 974.87 × 423.06
  4. Step 4: Simplify right side
    706.55x = 412,429.08
  5. Step 5: Solve for x
    x = 412,429.08/706.55
  6. Step 6: Final answer
    x = 583.72

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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.