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Finding the Fourth Proportional to 505.06, 696.97 and 284.02

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Solution

The fourth proportional to 505.06, 696.97 and 284.02 is: 391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.06 : 696.97 = 284.02 : x
  2. Step 2: Convert to fraction form
    505.06/696.97 = 284.02/x
  3. Step 3: Cross multiply
    505.06x = 696.97 × 284.02
  4. Step 4: Simplify right side
    505.06x = 197,953.42
  5. Step 5: Solve for x
    x = 197,953.42/505.06
  6. Step 6: Final answer
    x = 391.94

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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.