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Finding the Fourth Proportional to 649.29, 973.76 and 284.00

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Solution

The fourth proportional to 649.29, 973.76 and 284.00 is: 425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.29 : 973.76 = 284.00 : x
  2. Step 2: Convert to fraction form
    649.29/973.76 = 284.00/x
  3. Step 3: Cross multiply
    649.29x = 973.76 × 284.00
  4. Step 4: Simplify right side
    649.29x = 276,541.55
  5. Step 5: Solve for x
    x = 276,541.55/649.29
  6. Step 6: Final answer
    x = 425.91

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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.