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Finding the Fourth Proportional to 505.59, 696.09 and 381.12

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Solution

The fourth proportional to 505.59, 696.09 and 381.12 is: 524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.59 : 696.09 = 381.12 : x
  2. Step 2: Convert to fraction form
    505.59/696.09 = 381.12/x
  3. Step 3: Cross multiply
    505.59x = 696.09 × 381.12
  4. Step 4: Simplify right side
    505.59x = 265,293.82
  5. Step 5: Solve for x
    x = 265,293.82/505.59
  6. Step 6: Final answer
    x = 524.72

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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.