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Finding the Fourth Proportional to 462.58, 693.77 and 202.57

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Solution

The fourth proportional to 462.58, 693.77 and 202.57 is: 303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.58 : 693.77 = 202.57 : x
  2. Step 2: Convert to fraction form
    462.58/693.77 = 202.57/x
  3. Step 3: Cross multiply
    462.58x = 693.77 × 202.57
  4. Step 4: Simplify right side
    462.58x = 140,534.24
  5. Step 5: Solve for x
    x = 140,534.24/462.58
  6. Step 6: Final answer
    x = 303.81

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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.