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Finding the Fourth Proportional to 464.31, 699.59 and 414.58

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Solution

The fourth proportional to 464.31, 699.59 and 414.58 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.31 : 699.59 = 414.58 : x
  2. Step 2: Convert to fraction form
    464.31/699.59 = 414.58/x
  3. Step 3: Cross multiply
    464.31x = 699.59 × 414.58
  4. Step 4: Simplify right side
    464.31x = 290,036.02
  5. Step 5: Solve for x
    x = 290,036.02/464.31
  6. Step 6: Final answer
    x = 624.66

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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.