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Finding the Fourth Proportional to 466.42, 643.64 and 256.63

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Solution

The fourth proportional to 466.42, 643.64 and 256.63 is: 354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.42 : 643.64 = 256.63 : x
  2. Step 2: Convert to fraction form
    466.42/643.64 = 256.63/x
  3. Step 3: Cross multiply
    466.42x = 643.64 × 256.63
  4. Step 4: Simplify right side
    466.42x = 165,172.83
  5. Step 5: Solve for x
    x = 165,172.83/466.42
  6. Step 6: Final answer
    x = 354.13

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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.