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Finding the Fourth Proportional to 482.02, 723.30 and 401.83

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Solution

The fourth proportional to 482.02, 723.30 and 401.83 is: 602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.02 : 723.30 = 401.83 : x
  2. Step 2: Convert to fraction form
    482.02/723.30 = 401.83/x
  3. Step 3: Cross multiply
    482.02x = 723.30 × 401.83
  4. Step 4: Simplify right side
    482.02x = 290,643.64
  5. Step 5: Solve for x
    x = 290,643.64/482.02
  6. Step 6: Final answer
    x = 602.97

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Why These Related Problems?

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