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Finding the Fourth Proportional to 466.29, 643.52 and 256.51

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Solution

The fourth proportional to 466.29, 643.52 and 256.51 is: 354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.29 : 643.52 = 256.51 : x
  2. Step 2: Convert to fraction form
    466.29/643.52 = 256.51/x
  3. Step 3: Cross multiply
    466.29x = 643.52 × 256.51
  4. Step 4: Simplify right side
    466.29x = 165,066.10
  5. Step 5: Solve for x
    x = 165,066.10/466.29
  6. Step 6: Final answer
    x = 354.00

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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.