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Finding the Fourth Proportional to 649.52, 973.74 and 264.50

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Solution

The fourth proportional to 649.52, 973.74 and 264.50 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 973.74 = 264.50 : x
  2. Step 2: Convert to fraction form
    649.52/973.74 = 264.50/x
  3. Step 3: Cross multiply
    649.52x = 973.74 × 264.50
  4. Step 4: Simplify right side
    649.52x = 257,554.23
  5. Step 5: Solve for x
    x = 257,554.23/649.52
  6. Step 6: Final answer
    x = 396.53

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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.