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Finding the Fourth Proportional to 706.10, 974.40 and 407.40

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Solution

The fourth proportional to 706.10, 974.40 and 407.40 is: 562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.10 : 974.40 = 407.40 : x
  2. Step 2: Convert to fraction form
    706.10/974.40 = 407.40/x
  3. Step 3: Cross multiply
    706.10x = 974.40 × 407.40
  4. Step 4: Simplify right side
    706.10x = 396,970.56
  5. Step 5: Solve for x
    x = 396,970.56/706.10
  6. Step 6: Final answer
    x = 562.20

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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.