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Finding the Fourth Proportional to 630.20, 944.93 and 464.15

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Solution

The fourth proportional to 630.20, 944.93 and 464.15 is: 695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.20 : 944.93 = 464.15 : x
  2. Step 2: Convert to fraction form
    630.20/944.93 = 464.15/x
  3. Step 3: Cross multiply
    630.20x = 944.93 × 464.15
  4. Step 4: Simplify right side
    630.20x = 438,582.21
  5. Step 5: Solve for x
    x = 438,582.21/630.20
  6. Step 6: Final answer
    x = 695.95

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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.