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Finding the Fourth Proportional to 505.77, 698 and 284.74

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Solution

The fourth proportional to 505.77, 698 and 284.74 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.77 : 698 = 284.74 : x
  2. Step 2: Convert to fraction form
    505.77/698 = 284.74/x
  3. Step 3: Cross multiply
    505.77x = 698 × 284.74
  4. Step 4: Simplify right side
    505.77x = 198,748.52
  5. Step 5: Solve for x
    x = 198,748.52/505.77
  6. Step 6: Final answer
    x = 392.96

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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.