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Finding the Fourth Proportional to 464.34, 699.42 and 356.88

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Solution

The fourth proportional to 464.34, 699.42 and 356.88 is: 537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.34 : 699.42 = 356.88 : x
  2. Step 2: Convert to fraction form
    464.34/699.42 = 356.88/x
  3. Step 3: Cross multiply
    464.34x = 699.42 × 356.88
  4. Step 4: Simplify right side
    464.34x = 249,609.01
  5. Step 5: Solve for x
    x = 249,609.01/464.34
  6. Step 6: Final answer
    x = 537.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.