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Finding the Fourth Proportional to 630.94, 946.23 and 240.67

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Solution

The fourth proportional to 630.94, 946.23 and 240.67 is: 360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.94 : 946.23 = 240.67 : x
  2. Step 2: Convert to fraction form
    630.94/946.23 = 240.67/x
  3. Step 3: Cross multiply
    630.94x = 946.23 × 240.67
  4. Step 4: Simplify right side
    630.94x = 227,730.81
  5. Step 5: Solve for x
    x = 227,730.81/630.94
  6. Step 6: Final answer
    x = 360.94

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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.