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Finding the Fourth Proportional to 607.64, 911.56 and 242.42

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Solution

The fourth proportional to 607.64, 911.56 and 242.42 is: 363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.64 : 911.56 = 242.42 : x
  2. Step 2: Convert to fraction form
    607.64/911.56 = 242.42/x
  3. Step 3: Cross multiply
    607.64x = 911.56 × 242.42
  4. Step 4: Simplify right side
    607.64x = 220,980.38
  5. Step 5: Solve for x
    x = 220,980.38/607.64
  6. Step 6: Final answer
    x = 363.67

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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.