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Finding the Fourth Proportional to 464.86, 641.23 and 307.49

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Solution

The fourth proportional to 464.86, 641.23 and 307.49 is: 424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.86 : 641.23 = 307.49 : x
  2. Step 2: Convert to fraction form
    464.86/641.23 = 307.49/x
  3. Step 3: Cross multiply
    464.86x = 641.23 × 307.49
  4. Step 4: Simplify right side
    464.86x = 197,171.81
  5. Step 5: Solve for x
    x = 197,171.81/464.86
  6. Step 6: Final answer
    x = 424.15

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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.