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Finding the Fourth Proportional to 305.34, 456.40 and 264.66

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Solution

The fourth proportional to 305.34, 456.40 and 264.66 is: 395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 456.40 = 264.66 : x
  2. Step 2: Convert to fraction form
    305.34/456.40 = 264.66/x
  3. Step 3: Cross multiply
    305.34x = 456.40 × 264.66
  4. Step 4: Simplify right side
    305.34x = 120,790.82
  5. Step 5: Solve for x
    x = 120,790.82/305.34
  6. Step 6: Final answer
    x = 395.59

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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.