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Finding the Fourth Proportional to 661.95, 993.02 and 402.15

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Solution

The fourth proportional to 661.95, 993.02 and 402.15 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.95 : 993.02 = 402.15 : x
  2. Step 2: Convert to fraction form
    661.95/993.02 = 402.15/x
  3. Step 3: Cross multiply
    661.95x = 993.02 × 402.15
  4. Step 4: Simplify right side
    661.95x = 399,342.99
  5. Step 5: Solve for x
    x = 399,342.99/661.95
  6. Step 6: Final answer
    x = 603.28

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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.