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Finding the Fourth Proportional to 505.67, 697.75 and 284.57

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Solution

The fourth proportional to 505.67, 697.75 and 284.57 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.67 : 697.75 = 284.57 : x
  2. Step 2: Convert to fraction form
    505.67/697.75 = 284.57/x
  3. Step 3: Cross multiply
    505.67x = 697.75 × 284.57
  4. Step 4: Simplify right side
    505.67x = 198,558.72
  5. Step 5: Solve for x
    x = 198,558.72/505.67
  6. Step 6: Final answer
    x = 392.66

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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.