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Finding the Fourth Proportional to 505.83, 697.99 and 284.76

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Solution

The fourth proportional to 505.83, 697.99 and 284.76 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 697.99 = 284.76 : x
  2. Step 2: Convert to fraction form
    505.83/697.99 = 284.76/x
  3. Step 3: Cross multiply
    505.83x = 697.99 × 284.76
  4. Step 4: Simplify right side
    505.83x = 198,762.09
  5. Step 5: Solve for x
    x = 198,762.09/505.83
  6. Step 6: Final answer
    x = 392.94

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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.