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Finding the Fourth Proportional to 464.02, 640.26 and 298.20

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Solution

The fourth proportional to 464.02, 640.26 and 298.20 is: 411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.02 : 640.26 = 298.20 : x
  2. Step 2: Convert to fraction form
    464.02/640.26 = 298.20/x
  3. Step 3: Cross multiply
    464.02x = 640.26 × 298.20
  4. Step 4: Simplify right side
    464.02x = 190,925.53
  5. Step 5: Solve for x
    x = 190,925.53/464.02
  6. Step 6: Final answer
    x = 411.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.