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Finding the Fourth Proportional to 464.81, 641.16 and 354.06

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Solution

The fourth proportional to 464.81, 641.16 and 354.06 is: 488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 641.16 = 354.06 : x
  2. Step 2: Convert to fraction form
    464.81/641.16 = 354.06/x
  3. Step 3: Cross multiply
    464.81x = 641.16 × 354.06
  4. Step 4: Simplify right side
    464.81x = 227,009.11
  5. Step 5: Solve for x
    x = 227,009.11/464.81
  6. Step 6: Final answer
    x = 488.40

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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.