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Finding the Fourth Proportional to 483.16, 723.64 and 299.56

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Solution

The fourth proportional to 483.16, 723.64 and 299.56 is: 448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.16 : 723.64 = 299.56 : x
  2. Step 2: Convert to fraction form
    483.16/723.64 = 299.56/x
  3. Step 3: Cross multiply
    483.16x = 723.64 × 299.56
  4. Step 4: Simplify right side
    483.16x = 216,773.60
  5. Step 5: Solve for x
    x = 216,773.60/483.16
  6. Step 6: Final answer
    x = 448.66

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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.