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Finding the Fourth Proportional to 706.02, 974.42 and 411.46

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Solution

The fourth proportional to 706.02, 974.42 and 411.46 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 974.42 = 411.46 : x
  2. Step 2: Convert to fraction form
    706.02/974.42 = 411.46/x
  3. Step 3: Cross multiply
    706.02x = 974.42 × 411.46
  4. Step 4: Simplify right side
    706.02x = 400,931.90
  5. Step 5: Solve for x
    x = 400,931.90/706.02
  6. Step 6: Final answer
    x = 567.88

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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.