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Finding the Fourth Proportional to 504.87, 696.90 and 393.90

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Solution

The fourth proportional to 504.87, 696.90 and 393.90 is: 543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.87 : 696.90 = 393.90 : x
  2. Step 2: Convert to fraction form
    504.87/696.90 = 393.90/x
  3. Step 3: Cross multiply
    504.87x = 696.90 × 393.90
  4. Step 4: Simplify right side
    504.87x = 274,508.91
  5. Step 5: Solve for x
    x = 274,508.91/504.87
  6. Step 6: Final answer
    x = 543.72

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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.