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Finding the Fourth Proportional to 630.63, 946.17 and 306

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Solution

The fourth proportional to 630.63, 946.17 and 306 is: 459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.63 : 946.17 = 306 : x
  2. Step 2: Convert to fraction form
    630.63/946.17 = 306/x
  3. Step 3: Cross multiply
    630.63x = 946.17 × 306
  4. Step 4: Simplify right side
    630.63x = 289,528.02
  5. Step 5: Solve for x
    x = 289,528.02/630.63
  6. Step 6: Final answer
    x = 459.11

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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.