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Finding the Fourth Proportional to 515.37, 768.16 and 498.50

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Solution

The fourth proportional to 515.37, 768.16 and 498.50 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.37 : 768.16 = 498.50 : x
  2. Step 2: Convert to fraction form
    515.37/768.16 = 498.50/x
  3. Step 3: Cross multiply
    515.37x = 768.16 × 498.50
  4. Step 4: Simplify right side
    515.37x = 382,927.76
  5. Step 5: Solve for x
    x = 382,927.76/515.37
  6. Step 6: Final answer
    x = 743.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.