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Finding the Fourth Proportional to 364.41, 543.54 and 305.96

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Solution

The fourth proportional to 364.41, 543.54 and 305.96 is: 456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.41 : 543.54 = 305.96 : x
  2. Step 2: Convert to fraction form
    364.41/543.54 = 305.96/x
  3. Step 3: Cross multiply
    364.41x = 543.54 × 305.96
  4. Step 4: Simplify right side
    364.41x = 166,298.78
  5. Step 5: Solve for x
    x = 166,298.78/364.41
  6. Step 6: Final answer
    x = 456.35

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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.