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Finding the Fourth Proportional to 635.40, 951.66 and 378.36

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Solution

The fourth proportional to 635.40, 951.66 and 378.36 is: 566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.40 : 951.66 = 378.36 : x
  2. Step 2: Convert to fraction form
    635.40/951.66 = 378.36/x
  3. Step 3: Cross multiply
    635.40x = 951.66 × 378.36
  4. Step 4: Simplify right side
    635.40x = 360,070.08
  5. Step 5: Solve for x
    x = 360,070.08/635.40
  6. Step 6: Final answer
    x = 566.68

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1.5x scale

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.