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Finding the Fourth Proportional to 305.34, 458.12 and 203.02

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Solution

The fourth proportional to 305.34, 458.12 and 203.02 is: 304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 458.12 = 203.02 : x
  2. Step 2: Convert to fraction form
    305.34/458.12 = 203.02/x
  3. Step 3: Cross multiply
    305.34x = 458.12 × 203.02
  4. Step 4: Simplify right side
    305.34x = 93,007.52
  5. Step 5: Solve for x
    x = 93,007.52/305.34
  6. Step 6: Final answer
    x = 304.60

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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.