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Finding the Fourth Proportional to 613.07, 846.05 and 347.46

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Solution

The fourth proportional to 613.07, 846.05 and 347.46 is: 479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.07 : 846.05 = 347.46 : x
  2. Step 2: Convert to fraction form
    613.07/846.05 = 347.46/x
  3. Step 3: Cross multiply
    613.07x = 846.05 × 347.46
  4. Step 4: Simplify right side
    613.07x = 293,966.80
  5. Step 5: Solve for x
    x = 293,966.80/613.07
  6. Step 6: Final answer
    x = 479.50

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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.