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Finding the Fourth Proportional to 649.06, 973.75 and 297.50

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Solution

The fourth proportional to 649.06, 973.75 and 297.50 is: 446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.06 : 973.75 = 297.50 : x
  2. Step 2: Convert to fraction form
    649.06/973.75 = 297.50/x
  3. Step 3: Cross multiply
    649.06x = 973.75 × 297.50
  4. Step 4: Simplify right side
    649.06x = 289,687.47
  5. Step 5: Solve for x
    x = 289,687.47/649.06
  6. Step 6: Final answer
    x = 446.32

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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.