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Finding the Fourth Proportional to 630.99, 947.40 and 401.34

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Solution

The fourth proportional to 630.99, 947.40 and 401.34 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.99 : 947.40 = 401.34 : x
  2. Step 2: Convert to fraction form
    630.99/947.40 = 401.34/x
  3. Step 3: Cross multiply
    630.99x = 947.40 × 401.34
  4. Step 4: Simplify right side
    630.99x = 380,229.52
  5. Step 5: Solve for x
    x = 380,229.52/630.99
  6. Step 6: Final answer
    x = 602.59

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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.