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Finding the Fourth Proportional to 636.49, 954.36 and 307.23

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Solution

The fourth proportional to 636.49, 954.36 and 307.23 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.49 : 954.36 = 307.23 : x
  2. Step 2: Convert to fraction form
    636.49/954.36 = 307.23/x
  3. Step 3: Cross multiply
    636.49x = 954.36 × 307.23
  4. Step 4: Simplify right side
    636.49x = 293,208.02
  5. Step 5: Solve for x
    x = 293,208.02/636.49
  6. Step 6: Final answer
    x = 460.66

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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.