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Finding the Fourth Proportional to 608.88, 840.36 and 462

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Solution

The fourth proportional to 608.88, 840.36 and 462 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.88 : 840.36 = 462 : x
  2. Step 2: Convert to fraction form
    608.88/840.36 = 462/x
  3. Step 3: Cross multiply
    608.88x = 840.36 × 462
  4. Step 4: Simplify right side
    608.88x = 388,246.32
  5. Step 5: Solve for x
    x = 388,246.32/608.88
  6. Step 6: Final answer
    x = 637.64

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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.