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Finding the Fourth Proportional to 464.32, 695.67 and 220.51

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Solution

The fourth proportional to 464.32, 695.67 and 220.51 is: 330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 695.67 = 220.51 : x
  2. Step 2: Convert to fraction form
    464.32/695.67 = 220.51/x
  3. Step 3: Cross multiply
    464.32x = 695.67 × 220.51
  4. Step 4: Simplify right side
    464.32x = 153,402.19
  5. Step 5: Solve for x
    x = 153,402.19/464.32
  6. Step 6: Final answer
    x = 330.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.