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Finding the Fourth Proportional to 648.78, 973.29 and 264.30

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Solution

The fourth proportional to 648.78, 973.29 and 264.30 is: 396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.78 : 973.29 = 264.30 : x
  2. Step 2: Convert to fraction form
    648.78/973.29 = 264.30/x
  3. Step 3: Cross multiply
    648.78x = 973.29 × 264.30
  4. Step 4: Simplify right side
    648.78x = 257,240.55
  5. Step 5: Solve for x
    x = 257,240.55/648.78
  6. Step 6: Final answer
    x = 396.50

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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.