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Finding the Fourth Proportional to 364.87, 546.33 and 287.98

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Solution

The fourth proportional to 364.87, 546.33 and 287.98 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.87 : 546.33 = 287.98 : x
  2. Step 2: Convert to fraction form
    364.87/546.33 = 287.98/x
  3. Step 3: Cross multiply
    364.87x = 546.33 × 287.98
  4. Step 4: Simplify right side
    364.87x = 157,332.11
  5. Step 5: Solve for x
    x = 157,332.11/364.87
  6. Step 6: Final answer
    x = 431.20

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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.