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Finding the Fourth Proportional to 503.24, 694.32 and 436.74

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Solution

The fourth proportional to 503.24, 694.32 and 436.74 is: 602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 694.32 = 436.74 : x
  2. Step 2: Convert to fraction form
    503.24/694.32 = 436.74/x
  3. Step 3: Cross multiply
    503.24x = 694.32 × 436.74
  4. Step 4: Simplify right side
    503.24x = 303,238.41
  5. Step 5: Solve for x
    x = 303,238.41/503.24
  6. Step 6: Final answer
    x = 602.58

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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.