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Finding the Fourth Proportional to 464.51, 641.16 and 307.17

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Solution

The fourth proportional to 464.51, 641.16 and 307.17 is: 423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 641.16 = 307.17 : x
  2. Step 2: Convert to fraction form
    464.51/641.16 = 307.17/x
  3. Step 3: Cross multiply
    464.51x = 641.16 × 307.17
  4. Step 4: Simplify right side
    464.51x = 196,945.12
  5. Step 5: Solve for x
    x = 196,945.12/464.51
  6. Step 6: Final answer
    x = 423.98

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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.