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Finding the Fourth Proportional to 635.67, 953.64 and 288.93

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Solution

The fourth proportional to 635.67, 953.64 and 288.93 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 953.64 = 288.93 : x
  2. Step 2: Convert to fraction form
    635.67/953.64 = 288.93/x
  3. Step 3: Cross multiply
    635.67x = 953.64 × 288.93
  4. Step 4: Simplify right side
    635.67x = 275,535.21
  5. Step 5: Solve for x
    x = 275,535.21/635.67
  6. Step 6: Final answer
    x = 433.46

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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.