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Finding the Fourth Proportional to 630.49, 946.65 and 495.02

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Solution

The fourth proportional to 630.49, 946.65 and 495.02 is: 743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.49 : 946.65 = 495.02 : x
  2. Step 2: Convert to fraction form
    630.49/946.65 = 495.02/x
  3. Step 3: Cross multiply
    630.49x = 946.65 × 495.02
  4. Step 4: Simplify right side
    630.49x = 468,610.68
  5. Step 5: Solve for x
    x = 468,610.68/630.49
  6. Step 6: Final answer
    x = 743.25

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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.