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Finding the Fourth Proportional to 464.37, 695.87 and 438.40

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Solution

The fourth proportional to 464.37, 695.87 and 438.40 is: 656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.37 : 695.87 = 438.40 : x
  2. Step 2: Convert to fraction form
    464.37/695.87 = 438.40/x
  3. Step 3: Cross multiply
    464.37x = 695.87 × 438.40
  4. Step 4: Simplify right side
    464.37x = 305,069.41
  5. Step 5: Solve for x
    x = 305,069.41/464.37
  6. Step 6: Final answer
    x = 656.95

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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.