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Finding the Fourth Proportional to 613.71, 846.93 and 365.07

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Solution

The fourth proportional to 613.71, 846.93 and 365.07 is: 503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 846.93 = 365.07 : x
  2. Step 2: Convert to fraction form
    613.71/846.93 = 365.07/x
  3. Step 3: Cross multiply
    613.71x = 846.93 × 365.07
  4. Step 4: Simplify right side
    613.71x = 309,188.74
  5. Step 5: Solve for x
    x = 309,188.74/613.71
  6. Step 6: Final answer
    x = 503.80

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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.