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Finding the Fourth Proportional to 630.18, 943.22 and 465.57

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Solution

The fourth proportional to 630.18, 943.22 and 465.57 is: 696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 943.22 = 465.57 : x
  2. Step 2: Convert to fraction form
    630.18/943.22 = 465.57/x
  3. Step 3: Cross multiply
    630.18x = 943.22 × 465.57
  4. Step 4: Simplify right side
    630.18x = 439,132.61
  5. Step 5: Solve for x
    x = 439,132.61/630.18
  6. Step 6: Final answer
    x = 696.84

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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.