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Finding the Fourth Proportional to 464.94, 699.84 and 420.26

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Solution

The fourth proportional to 464.94, 699.84 and 420.26 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 699.84 = 420.26 : x
  2. Step 2: Convert to fraction form
    464.94/699.84 = 420.26/x
  3. Step 3: Cross multiply
    464.94x = 699.84 × 420.26
  4. Step 4: Simplify right side
    464.94x = 294,111.26
  5. Step 5: Solve for x
    x = 294,111.26/464.94
  6. Step 6: Final answer
    x = 632.58

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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.