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Finding the Fourth Proportional to 364.02, 545.28 and 306.84

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Solution

The fourth proportional to 364.02, 545.28 and 306.84 is: 459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 545.28 = 306.84 : x
  2. Step 2: Convert to fraction form
    364.02/545.28 = 306.84/x
  3. Step 3: Cross multiply
    364.02x = 545.28 × 306.84
  4. Step 4: Simplify right side
    364.02x = 167,313.72
  5. Step 5: Solve for x
    x = 167,313.72/364.02
  6. Step 6: Final answer
    x = 459.63

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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.