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Finding the Fourth Proportional to 630.84, 946.68 and 342.48

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Solution

The fourth proportional to 630.84, 946.68 and 342.48 is: 513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.84 : 946.68 = 342.48 : x
  2. Step 2: Convert to fraction form
    630.84/946.68 = 342.48/x
  3. Step 3: Cross multiply
    630.84x = 946.68 × 342.48
  4. Step 4: Simplify right side
    630.84x = 324,218.97
  5. Step 5: Solve for x
    x = 324,218.97/630.84
  6. Step 6: Final answer
    x = 513.95

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1.5x scale

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.