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Finding the Fourth Proportional to 424.44, 633.02 and 417.15

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Solution

The fourth proportional to 424.44, 633.02 and 417.15 is: 622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.44 : 633.02 = 417.15 : x
  2. Step 2: Convert to fraction form
    424.44/633.02 = 417.15/x
  3. Step 3: Cross multiply
    424.44x = 633.02 × 417.15
  4. Step 4: Simplify right side
    424.44x = 264,062.21
  5. Step 5: Solve for x
    x = 264,062.21/424.44
  6. Step 6: Final answer
    x = 622.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.