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Finding the Fourth Proportional to 632.10, 948.46 and 285.67

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Solution

The fourth proportional to 632.10, 948.46 and 285.67 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.10 : 948.46 = 285.67 : x
  2. Step 2: Convert to fraction form
    632.10/948.46 = 285.67/x
  3. Step 3: Cross multiply
    632.10x = 948.46 × 285.67
  4. Step 4: Simplify right side
    632.10x = 270,946.57
  5. Step 5: Solve for x
    x = 270,946.57/632.10
  6. Step 6: Final answer
    x = 428.65

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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.