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Finding the Fourth Proportional to 635.28, 953.64 and 599.28

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Solution

The fourth proportional to 635.28, 953.64 and 599.28 is: 899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.28 : 953.64 = 599.28 : x
  2. Step 2: Convert to fraction form
    635.28/953.64 = 599.28/x
  3. Step 3: Cross multiply
    635.28x = 953.64 × 599.28
  4. Step 4: Simplify right side
    635.28x = 571,497.38
  5. Step 5: Solve for x
    x = 571,497.38/635.28
  6. Step 6: Final answer
    x = 899.60

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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.