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Finding the Fourth Proportional to 503.58, 694.52 and 354.69

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Solution

The fourth proportional to 503.58, 694.52 and 354.69 is: 489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.58 : 694.52 = 354.69 : x
  2. Step 2: Convert to fraction form
    503.58/694.52 = 354.69/x
  3. Step 3: Cross multiply
    503.58x = 694.52 × 354.69
  4. Step 4: Simplify right side
    503.58x = 246,341.92
  5. Step 5: Solve for x
    x = 246,341.92/503.58
  6. Step 6: Final answer
    x = 489.18

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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.