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Finding the Fourth Proportional to 608.96, 839.54 and 525.88

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Solution

The fourth proportional to 608.96, 839.54 and 525.88 is: 725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.96 : 839.54 = 525.88 : x
  2. Step 2: Convert to fraction form
    608.96/839.54 = 525.88/x
  3. Step 3: Cross multiply
    608.96x = 839.54 × 525.88
  4. Step 4: Simplify right side
    608.96x = 441,497.30
  5. Step 5: Solve for x
    x = 441,497.30/608.96
  6. Step 6: Final answer
    x = 725.00

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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.