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Finding the Fourth Proportional to 364.40, 545.94 and 306.98

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Solution

The fourth proportional to 364.40, 545.94 and 306.98 is: 459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.40 : 545.94 = 306.98 : x
  2. Step 2: Convert to fraction form
    364.40/545.94 = 306.98/x
  3. Step 3: Cross multiply
    364.40x = 545.94 × 306.98
  4. Step 4: Simplify right side
    364.40x = 167,592.66
  5. Step 5: Solve for x
    x = 167,592.66/364.40
  6. Step 6: Final answer
    x = 459.91

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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.