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Finding the Fourth Proportional to 464.19, 695.95 and 220.58

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Solution

The fourth proportional to 464.19, 695.95 and 220.58 is: 330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.19 : 695.95 = 220.58 : x
  2. Step 2: Convert to fraction form
    464.19/695.95 = 220.58/x
  3. Step 3: Cross multiply
    464.19x = 695.95 × 220.58
  4. Step 4: Simplify right side
    464.19x = 153,512.65
  5. Step 5: Solve for x
    x = 153,512.65/464.19
  6. Step 6: Final answer
    x = 330.71

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