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Finding the Fourth Proportional to 608.19, 839.34 and 509.79

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Solution

The fourth proportional to 608.19, 839.34 and 509.79 is: 703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.19 : 839.34 = 509.79 : x
  2. Step 2: Convert to fraction form
    608.19/839.34 = 509.79/x
  3. Step 3: Cross multiply
    608.19x = 839.34 × 509.79
  4. Step 4: Simplify right side
    608.19x = 427,887.14
  5. Step 5: Solve for x
    x = 427,887.14/608.19
  6. Step 6: Final answer
    x = 703.54

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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.