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Finding the Fourth Proportional to 305.87, 455.40 and 301.56

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Solution

The fourth proportional to 305.87, 455.40 and 301.56 is: 448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 455.40 = 301.56 : x
  2. Step 2: Convert to fraction form
    305.87/455.40 = 301.56/x
  3. Step 3: Cross multiply
    305.87x = 455.40 × 301.56
  4. Step 4: Simplify right side
    305.87x = 137,327.87
  5. Step 5: Solve for x
    x = 137,327.87/305.87
  6. Step 6: Final answer
    x = 448.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.