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Finding the Fourth Proportional to 613.39, 918.49 and 339.16

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Solution

The fourth proportional to 613.39, 918.49 and 339.16 is: 507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.39 : 918.49 = 339.16 : x
  2. Step 2: Convert to fraction form
    613.39/918.49 = 339.16/x
  3. Step 3: Cross multiply
    613.39x = 918.49 × 339.16
  4. Step 4: Simplify right side
    613.39x = 311,515.07
  5. Step 5: Solve for x
    x = 311,515.07/613.39
  6. Step 6: Final answer
    x = 507.86

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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.