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Finding the Fourth Proportional to 504.90, 696.75 and 283.83

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Solution

The fourth proportional to 504.90, 696.75 and 283.83 is: 391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.90 : 696.75 = 283.83 : x
  2. Step 2: Convert to fraction form
    504.90/696.75 = 283.83/x
  3. Step 3: Cross multiply
    504.90x = 696.75 × 283.83
  4. Step 4: Simplify right side
    504.90x = 197,758.55
  5. Step 5: Solve for x
    x = 197,758.55/504.90
  6. Step 6: Final answer
    x = 391.68

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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.