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Finding the Fourth Proportional to 464.55, 640.85 and 307.02

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Solution

The fourth proportional to 464.55, 640.85 and 307.02 is: 423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 640.85 = 307.02 : x
  2. Step 2: Convert to fraction form
    464.55/640.85 = 307.02/x
  3. Step 3: Cross multiply
    464.55x = 640.85 × 307.02
  4. Step 4: Simplify right side
    464.55x = 196,753.77
  5. Step 5: Solve for x
    x = 196,753.77/464.55
  6. Step 6: Final answer
    x = 423.54

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Why These Related Problems?

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