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Finding the Fourth Proportional to 384.33, 572.81 and 364.89

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Solution

The fourth proportional to 384.33, 572.81 and 364.89 is: 543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.33 : 572.81 = 364.89 : x
  2. Step 2: Convert to fraction form
    384.33/572.81 = 364.89/x
  3. Step 3: Cross multiply
    384.33x = 572.81 × 364.89
  4. Step 4: Simplify right side
    384.33x = 209,010.82
  5. Step 5: Solve for x
    x = 209,010.82/384.33
  6. Step 6: Final answer
    x = 543.83

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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.