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Finding the Fourth Proportional to 505.18, 696.80 and 298.18

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Solution

The fourth proportional to 505.18, 696.80 and 298.18 is: 411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.18 : 696.80 = 298.18 : x
  2. Step 2: Convert to fraction form
    505.18/696.80 = 298.18/x
  3. Step 3: Cross multiply
    505.18x = 696.80 × 298.18
  4. Step 4: Simplify right side
    505.18x = 207,771.82
  5. Step 5: Solve for x
    x = 207,771.82/505.18
  6. Step 6: Final answer
    x = 411.28

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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.