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Finding the Fourth Proportional to 612.55, 845.20 and 346.87

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Solution

The fourth proportional to 612.55, 845.20 and 346.87 is: 478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.55 : 845.20 = 346.87 : x
  2. Step 2: Convert to fraction form
    612.55/845.20 = 346.87/x
  3. Step 3: Cross multiply
    612.55x = 845.20 × 346.87
  4. Step 4: Simplify right side
    612.55x = 293,174.52
  5. Step 5: Solve for x
    x = 293,174.52/612.55
  6. Step 6: Final answer
    x = 478.61

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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.