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Finding the Fourth Proportional to 464.99, 641.77 and 307.62

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Solution

The fourth proportional to 464.99, 641.77 and 307.62 is: 424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.99 : 641.77 = 307.62 : x
  2. Step 2: Convert to fraction form
    464.99/641.77 = 307.62/x
  3. Step 3: Cross multiply
    464.99x = 641.77 × 307.62
  4. Step 4: Simplify right side
    464.99x = 197,420.52
  5. Step 5: Solve for x
    x = 197,420.52/464.99
  6. Step 6: Final answer
    x = 424.57

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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.