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Finding the Fourth Proportional to 505.27, 697.32 and 284.21

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Solution

The fourth proportional to 505.27, 697.32 and 284.21 is: 392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.27 : 697.32 = 284.21 : x
  2. Step 2: Convert to fraction form
    505.27/697.32 = 284.21/x
  3. Step 3: Cross multiply
    505.27x = 697.32 × 284.21
  4. Step 4: Simplify right side
    505.27x = 198,181.83
  5. Step 5: Solve for x
    x = 198,181.83/505.27
  6. Step 6: Final answer
    x = 392.23

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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.