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Finding the Fourth Proportional to 515.76, 706.56 and 463.92

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Solution

The fourth proportional to 515.76, 706.56 and 463.92 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 706.56 = 463.92 : x
  2. Step 2: Convert to fraction form
    515.76/706.56 = 463.92/x
  3. Step 3: Cross multiply
    515.76x = 706.56 × 463.92
  4. Step 4: Simplify right side
    515.76x = 327,787.32
  5. Step 5: Solve for x
    x = 327,787.32/515.76
  6. Step 6: Final answer
    x = 635.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.