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Finding the Fourth Proportional to 630.68, 946.67 and 284.24

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Solution

The fourth proportional to 630.68, 946.67 and 284.24 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 946.67 = 284.24 : x
  2. Step 2: Convert to fraction form
    630.68/946.67 = 284.24/x
  3. Step 3: Cross multiply
    630.68x = 946.67 × 284.24
  4. Step 4: Simplify right side
    630.68x = 269,075.33
  5. Step 5: Solve for x
    x = 269,075.33/630.68
  6. Step 6: Final answer
    x = 426.65

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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.