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Finding the Fourth Proportional to 482.03, 723.62 and 462.47

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Solution

The fourth proportional to 482.03, 723.62 and 462.47 is: 694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.03 : 723.62 = 462.47 : x
  2. Step 2: Convert to fraction form
    482.03/723.62 = 462.47/x
  3. Step 3: Cross multiply
    482.03x = 723.62 × 462.47
  4. Step 4: Simplify right side
    482.03x = 334,652.54
  5. Step 5: Solve for x
    x = 334,652.54/482.03
  6. Step 6: Final answer
    x = 694.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.