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Finding the Fourth Proportional to 485.24, 723.88 and 468.82

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Solution

The fourth proportional to 485.24, 723.88 and 468.82 is: 699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.24 : 723.88 = 468.82 : x
  2. Step 2: Convert to fraction form
    485.24/723.88 = 468.82/x
  3. Step 3: Cross multiply
    485.24x = 723.88 × 468.82
  4. Step 4: Simplify right side
    485.24x = 339,369.42
  5. Step 5: Solve for x
    x = 339,369.42/485.24
  6. Step 6: Final answer
    x = 699.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.