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Finding the Fourth Proportional to 464.42, 640.98 and 307.06

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Solution

The fourth proportional to 464.42, 640.98 and 307.06 is: 423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 640.98 = 307.06 : x
  2. Step 2: Convert to fraction form
    464.42/640.98 = 307.06/x
  3. Step 3: Cross multiply
    464.42x = 640.98 × 307.06
  4. Step 4: Simplify right side
    464.42x = 196,817.72
  5. Step 5: Solve for x
    x = 196,817.72/464.42
  6. Step 6: Final answer
    x = 423.80

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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.