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Finding the Fourth Proportional to 630.82, 946.50 and 577.09

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Solution

The fourth proportional to 630.82, 946.50 and 577.09 is: 865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.82 : 946.50 = 577.09 : x
  2. Step 2: Convert to fraction form
    630.82/946.50 = 577.09/x
  3. Step 3: Cross multiply
    630.82x = 946.50 × 577.09
  4. Step 4: Simplify right side
    630.82x = 546,215.69
  5. Step 5: Solve for x
    x = 546,215.69/630.82
  6. Step 6: Final answer
    x = 865.88

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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.