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Finding the Fourth Proportional to 466.41, 643.75 and 309.07

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Solution

The fourth proportional to 466.41, 643.75 and 309.07 is: 426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 643.75 = 309.07 : x
  2. Step 2: Convert to fraction form
    466.41/643.75 = 309.07/x
  3. Step 3: Cross multiply
    466.41x = 643.75 × 309.07
  4. Step 4: Simplify right side
    466.41x = 198,963.81
  5. Step 5: Solve for x
    x = 198,963.81/466.41
  6. Step 6: Final answer
    x = 426.59

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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.