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Finding the Fourth Proportional to 364.55, 545.78 and 338.93

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Solution

The fourth proportional to 364.55, 545.78 and 338.93 is: 507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.55 : 545.78 = 338.93 : x
  2. Step 2: Convert to fraction form
    364.55/545.78 = 338.93/x
  3. Step 3: Cross multiply
    364.55x = 545.78 × 338.93
  4. Step 4: Simplify right side
    364.55x = 184,976.79
  5. Step 5: Solve for x
    x = 184,976.79/364.55
  6. Step 6: Final answer
    x = 507.41

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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.