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Finding the Fourth Proportional to 466.59, 643.91 and 259.59

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Solution

The fourth proportional to 466.59, 643.91 and 259.59 is: 358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.59 : 643.91 = 259.59 : x
  2. Step 2: Convert to fraction form
    466.59/643.91 = 259.59/x
  3. Step 3: Cross multiply
    466.59x = 643.91 × 259.59
  4. Step 4: Simplify right side
    466.59x = 167,153.71
  5. Step 5: Solve for x
    x = 167,153.71/466.59
  6. Step 6: Final answer
    x = 358.24

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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.