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Finding the Fourth Proportional to 634.08, 953.28 and 418.08

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Solution

The fourth proportional to 634.08, 953.28 and 418.08 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 953.28 = 418.08 : x
  2. Step 2: Convert to fraction form
    634.08/953.28 = 418.08/x
  3. Step 3: Cross multiply
    634.08x = 953.28 × 418.08
  4. Step 4: Simplify right side
    634.08x = 398,547.30
  5. Step 5: Solve for x
    x = 398,547.30/634.08
  6. Step 6: Final answer
    x = 628.54

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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.