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Finding the Fourth Proportional to 466.02, 643.15 and 256.24

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Solution

The fourth proportional to 466.02, 643.15 and 256.24 is: 353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.02 : 643.15 = 256.24 : x
  2. Step 2: Convert to fraction form
    466.02/643.15 = 256.24/x
  3. Step 3: Cross multiply
    466.02x = 643.15 × 256.24
  4. Step 4: Simplify right side
    466.02x = 164,798.14
  5. Step 5: Solve for x
    x = 164,798.14/466.02
  6. Step 6: Final answer
    x = 353.63

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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.