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Finding the Fourth Proportional to 608.21, 910.25 and 510.81

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Solution

The fourth proportional to 608.21, 910.25 and 510.81 is: 764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.21 : 910.25 = 510.81 : x
  2. Step 2: Convert to fraction form
    608.21/910.25 = 510.81/x
  3. Step 3: Cross multiply
    608.21x = 910.25 × 510.81
  4. Step 4: Simplify right side
    608.21x = 464,962.25
  5. Step 5: Solve for x
    x = 464,962.25/608.21
  6. Step 6: Final answer
    x = 764.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.