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Finding the Fourth Proportional to 505.76, 697.90 and 284.71

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Solution

The fourth proportional to 505.76, 697.90 and 284.71 is: 392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.76 : 697.90 = 284.71 : x
  2. Step 2: Convert to fraction form
    505.76/697.90 = 284.71/x
  3. Step 3: Cross multiply
    505.76x = 697.90 × 284.71
  4. Step 4: Simplify right side
    505.76x = 198,699.03
  5. Step 5: Solve for x
    x = 198,699.03/505.76
  6. Step 6: Final answer
    x = 392.87

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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.