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Finding the Fourth Proportional to 612.76, 918.56 and 392.71

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Solution

The fourth proportional to 612.76, 918.56 and 392.71 is: 588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.76 : 918.56 = 392.71 : x
  2. Step 2: Convert to fraction form
    612.76/918.56 = 392.71/x
  3. Step 3: Cross multiply
    612.76x = 918.56 × 392.71
  4. Step 4: Simplify right side
    612.76x = 360,725.73
  5. Step 5: Solve for x
    x = 360,725.73/612.76
  6. Step 6: Final answer
    x = 588.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.