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Finding the Fourth Proportional to 635.48, 953.33 and 288.80

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Solution

The fourth proportional to 635.48, 953.33 and 288.80 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.48 : 953.33 = 288.80 : x
  2. Step 2: Convert to fraction form
    635.48/953.33 = 288.80/x
  3. Step 3: Cross multiply
    635.48x = 953.33 × 288.80
  4. Step 4: Simplify right side
    635.48x = 275,319.07
  5. Step 5: Solve for x
    x = 275,319.07/635.48
  6. Step 6: Final answer
    x = 433.25

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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.