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Finding the Fourth Proportional to 649.42, 973.62 and 283.91

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Solution

The fourth proportional to 649.42, 973.62 and 283.91 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 973.62 = 283.91 : x
  2. Step 2: Convert to fraction form
    649.42/973.62 = 283.91/x
  3. Step 3: Cross multiply
    649.42x = 973.62 × 283.91
  4. Step 4: Simplify right side
    649.42x = 276,415.59
  5. Step 5: Solve for x
    x = 276,415.59/649.42
  6. Step 6: Final answer
    x = 425.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.