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Finding the Fourth Proportional to 505.72, 697.77 and 284.65

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Solution

The fourth proportional to 505.72, 697.77 and 284.65 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.72 : 697.77 = 284.65 : x
  2. Step 2: Convert to fraction form
    505.72/697.77 = 284.65/x
  3. Step 3: Cross multiply
    505.72x = 697.77 × 284.65
  4. Step 4: Simplify right side
    505.72x = 198,620.23
  5. Step 5: Solve for x
    x = 198,620.23/505.72
  6. Step 6: Final answer
    x = 392.75

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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.