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Finding the Fourth Proportional to 573.82, 862.28 and 300.11

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Solution

The fourth proportional to 573.82, 862.28 and 300.11 is: 450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.82 : 862.28 = 300.11 : x
  2. Step 2: Convert to fraction form
    573.82/862.28 = 300.11/x
  3. Step 3: Cross multiply
    573.82x = 862.28 × 300.11
  4. Step 4: Simplify right side
    573.82x = 258,779.01
  5. Step 5: Solve for x
    x = 258,779.01/573.82
  6. Step 6: Final answer
    x = 450.98

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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.