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Finding the Fourth Proportional to 503.92, 694.62 and 356.32

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Solution

The fourth proportional to 503.92, 694.62 and 356.32 is: 491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 694.62 = 356.32 : x
  2. Step 2: Convert to fraction form
    503.92/694.62 = 356.32/x
  3. Step 3: Cross multiply
    503.92x = 694.62 × 356.32
  4. Step 4: Simplify right side
    503.92x = 247,507.00
  5. Step 5: Solve for x
    x = 247,507.00/503.92
  6. Step 6: Final answer
    x = 491.16

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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.