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Finding the Fourth Proportional to 612.99, 846.06 and 364.46

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Solution

The fourth proportional to 612.99, 846.06 and 364.46 is: 503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.99 : 846.06 = 364.46 : x
  2. Step 2: Convert to fraction form
    612.99/846.06 = 364.46/x
  3. Step 3: Cross multiply
    612.99x = 846.06 × 364.46
  4. Step 4: Simplify right side
    612.99x = 308,350.80
  5. Step 5: Solve for x
    x = 308,350.80/612.99
  6. Step 6: Final answer
    x = 503.03

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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.