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Finding the Fourth Proportional to 505.89, 698.92 and 498.15

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Solution

The fourth proportional to 505.89, 698.92 and 498.15 is: 688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 698.92 = 498.15 : x
  2. Step 2: Convert to fraction form
    505.89/698.92 = 498.15/x
  3. Step 3: Cross multiply
    505.89x = 698.92 × 498.15
  4. Step 4: Simplify right side
    505.89x = 348,165.75
  5. Step 5: Solve for x
    x = 348,165.75/505.89
  6. Step 6: Final answer
    x = 688.22

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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.