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Finding the Fourth Proportional to 504.91, 696.80 and 283.89

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Solution

The fourth proportional to 504.91, 696.80 and 283.89 is: 391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.91 : 696.80 = 283.89 : x
  2. Step 2: Convert to fraction form
    504.91/696.80 = 283.89/x
  3. Step 3: Cross multiply
    504.91x = 696.80 × 283.89
  4. Step 4: Simplify right side
    504.91x = 197,814.55
  5. Step 5: Solve for x
    x = 197,814.55/504.91
  6. Step 6: Final answer
    x = 391.78

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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.