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Finding the Fourth Proportional to 503.62, 695.02 and 356.30

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Solution

The fourth proportional to 503.62, 695.02 and 356.30 is: 491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.62 : 695.02 = 356.30 : x
  2. Step 2: Convert to fraction form
    503.62/695.02 = 356.30/x
  3. Step 3: Cross multiply
    503.62x = 695.02 × 356.30
  4. Step 4: Simplify right side
    503.62x = 247,635.63
  5. Step 5: Solve for x
    x = 247,635.63/503.62
  6. Step 6: Final answer
    x = 491.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.