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Finding the Fourth Proportional to 325.76, 450.58 and 256.51

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Solution

The fourth proportional to 325.76, 450.58 and 256.51 is: 354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.76 : 450.58 = 256.51 : x
  2. Step 2: Convert to fraction form
    325.76/450.58 = 256.51/x
  3. Step 3: Cross multiply
    325.76x = 450.58 × 256.51
  4. Step 4: Simplify right side
    325.76x = 115,578.28
  5. Step 5: Solve for x
    x = 115,578.28/325.76
  6. Step 6: Final answer
    x = 354.80

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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.