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Finding the Fourth Proportional to 630.89, 946.16 and 284.03

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Solution

The fourth proportional to 630.89, 946.16 and 284.03 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.89 : 946.16 = 284.03 : x
  2. Step 2: Convert to fraction form
    630.89/946.16 = 284.03/x
  3. Step 3: Cross multiply
    630.89x = 946.16 × 284.03
  4. Step 4: Simplify right side
    630.89x = 268,737.82
  5. Step 5: Solve for x
    x = 268,737.82/630.89
  6. Step 6: Final answer
    x = 425.97

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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.