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Finding the Fourth Proportional to 305.37, 420.85 and 258.59

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Solution

The fourth proportional to 305.37, 420.85 and 258.59 is: 356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.37 : 420.85 = 258.59 : x
  2. Step 2: Convert to fraction form
    305.37/420.85 = 258.59/x
  3. Step 3: Cross multiply
    305.37x = 420.85 × 258.59
  4. Step 4: Simplify right side
    305.37x = 108,827.52
  5. Step 5: Solve for x
    x = 108,827.52/305.37
  6. Step 6: Final answer
    x = 356.38

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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.