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Finding the Fourth Proportional to 305.65, 458.47 and 89.23

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Solution

The fourth proportional to 305.65, 458.47 and 89.23 is: 133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 458.47 = 89.23 : x
  2. Step 2: Convert to fraction form
    305.65/458.47 = 89.23/x
  3. Step 3: Cross multiply
    305.65x = 458.47 × 89.23
  4. Step 4: Simplify right side
    305.65x = 40,907.94
  5. Step 5: Solve for x
    x = 40,907.94/305.65
  6. Step 6: Final answer
    x = 133.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.