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Finding the Fourth Proportional to 523.02, 721.75 and 302.01

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Solution

The fourth proportional to 523.02, 721.75 and 302.01 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 721.75 = 302.01 : x
  2. Step 2: Convert to fraction form
    523.02/721.75 = 302.01/x
  3. Step 3: Cross multiply
    523.02x = 721.75 × 302.01
  4. Step 4: Simplify right side
    523.02x = 217,975.72
  5. Step 5: Solve for x
    x = 217,975.72/523.02
  6. Step 6: Final answer
    x = 416.76

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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.