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Finding the Fourth Proportional to 480.16, 723.80 and 399.53

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Solution

The fourth proportional to 480.16, 723.80 and 399.53 is: 602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.16 : 723.80 = 399.53 : x
  2. Step 2: Convert to fraction form
    480.16/723.80 = 399.53/x
  3. Step 3: Cross multiply
    480.16x = 723.80 × 399.53
  4. Step 4: Simplify right side
    480.16x = 289,182.62
  5. Step 5: Solve for x
    x = 289,182.62/480.16
  6. Step 6: Final answer
    x = 602.26

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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.