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Finding the Fourth Proportional to 399.54, 597.93 and 364.56

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Solution

The fourth proportional to 399.54, 597.93 and 364.56 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.54 : 597.93 = 364.56 : x
  2. Step 2: Convert to fraction form
    399.54/597.93 = 364.56/x
  3. Step 3: Cross multiply
    399.54x = 597.93 × 364.56
  4. Step 4: Simplify right side
    399.54x = 217,981.36
  5. Step 5: Solve for x
    x = 217,981.36/399.54
  6. Step 6: Final answer
    x = 545.58

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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.