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Finding the Fourth Proportional to 466.52, 643.74 and 259.48

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Solution

The fourth proportional to 466.52, 643.74 and 259.48 is: 358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 643.74 = 259.48 : x
  2. Step 2: Convert to fraction form
    466.52/643.74 = 259.48/x
  3. Step 3: Cross multiply
    466.52x = 643.74 × 259.48
  4. Step 4: Simplify right side
    466.52x = 167,037.66
  5. Step 5: Solve for x
    x = 167,037.66/466.52
  6. Step 6: Final answer
    x = 358.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.