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Finding the Fourth Proportional to 505.92, 698.15 and 284.87

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Solution

The fourth proportional to 505.92, 698.15 and 284.87 is: 393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 698.15 = 284.87 : x
  2. Step 2: Convert to fraction form
    505.92/698.15 = 284.87/x
  3. Step 3: Cross multiply
    505.92x = 698.15 × 284.87
  4. Step 4: Simplify right side
    505.92x = 198,877.08
  5. Step 5: Solve for x
    x = 198,877.08/505.92
  6. Step 6: Final answer
    x = 393.10

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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.