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Finding the Fourth Proportional to 635.60, 952.80 and 375.80

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Solution

The fourth proportional to 635.60, 952.80 and 375.80 is: 563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.60 : 952.80 = 375.80 : x
  2. Step 2: Convert to fraction form
    635.60/952.80 = 375.80/x
  3. Step 3: Cross multiply
    635.60x = 952.80 × 375.80
  4. Step 4: Simplify right side
    635.60x = 358,062.24
  5. Step 5: Solve for x
    x = 358,062.24/635.60
  6. Step 6: Final answer
    x = 563.35

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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.