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Finding the Fourth Proportional to 613.47, 846.35 and 364.70

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Solution

The fourth proportional to 613.47, 846.35 and 364.70 is: 503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.47 : 846.35 = 364.70 : x
  2. Step 2: Convert to fraction form
    613.47/846.35 = 364.70/x
  3. Step 3: Cross multiply
    613.47x = 846.35 × 364.70
  4. Step 4: Simplify right side
    613.47x = 308,665.50
  5. Step 5: Solve for x
    x = 308,665.50/613.47
  6. Step 6: Final answer
    x = 503.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.