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Finding the Fourth Proportional to 464.16, 639.14 and 332.94

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Solution

The fourth proportional to 464.16, 639.14 and 332.94 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 639.14 = 332.94 : x
  2. Step 2: Convert to fraction form
    464.16/639.14 = 332.94/x
  3. Step 3: Cross multiply
    464.16x = 639.14 × 332.94
  4. Step 4: Simplify right side
    464.16x = 212,795.27
  5. Step 5: Solve for x
    x = 212,795.27/464.16
  6. Step 6: Final answer
    x = 458.45

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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.