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Finding the Fourth Proportional to 504.92, 696 and 357.32

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Solution

The fourth proportional to 504.92, 696 and 357.32 is: 492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 696 = 357.32 : x
  2. Step 2: Convert to fraction form
    504.92/696 = 357.32/x
  3. Step 3: Cross multiply
    504.92x = 696 × 357.32
  4. Step 4: Simplify right side
    504.92x = 248,694.72
  5. Step 5: Solve for x
    x = 248,694.72/504.92
  6. Step 6: Final answer
    x = 492.54

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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.