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Finding the Fourth Proportional to 572.42, 858.63 and 202.22

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Solution

The fourth proportional to 572.42, 858.63 and 202.22 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.42 : 858.63 = 202.22 : x
  2. Step 2: Convert to fraction form
    572.42/858.63 = 202.22/x
  3. Step 3: Cross multiply
    572.42x = 858.63 × 202.22
  4. Step 4: Simplify right side
    572.42x = 173,632.16
  5. Step 5: Solve for x
    x = 173,632.16/572.42
  6. Step 6: Final answer
    x = 303.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.