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Finding the Fourth Proportional to 612.84, 845.66 and 364.18

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Solution

The fourth proportional to 612.84, 845.66 and 364.18 is: 502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 845.66 = 364.18 : x
  2. Step 2: Convert to fraction form
    612.84/845.66 = 364.18/x
  3. Step 3: Cross multiply
    612.84x = 845.66 × 364.18
  4. Step 4: Simplify right side
    612.84x = 307,972.46
  5. Step 5: Solve for x
    x = 307,972.46/612.84
  6. Step 6: Final answer
    x = 502.53

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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.