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Finding the Fourth Proportional to 480.94, 724 and 436.24

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Solution

The fourth proportional to 480.94, 724 and 436.24 is: 656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.94 : 724 = 436.24 : x
  2. Step 2: Convert to fraction form
    480.94/724 = 436.24/x
  3. Step 3: Cross multiply
    480.94x = 724 × 436.24
  4. Step 4: Simplify right side
    480.94x = 315,837.76
  5. Step 5: Solve for x
    x = 315,837.76/480.94
  6. Step 6: Final answer
    x = 656.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.