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Finding the Fourth Proportional to 473.06, 708.12 and 299.90

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Solution

The fourth proportional to 473.06, 708.12 and 299.90 is: 448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 708.12 = 299.90 : x
  2. Step 2: Convert to fraction form
    473.06/708.12 = 299.90/x
  3. Step 3: Cross multiply
    473.06x = 708.12 × 299.90
  4. Step 4: Simplify right side
    473.06x = 212,365.19
  5. Step 5: Solve for x
    x = 212,365.19/473.06
  6. Step 6: Final answer
    x = 448.92

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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.