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Finding the Fourth Proportional to 364.10, 546.42 and 277.70

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Solution

The fourth proportional to 364.10, 546.42 and 277.70 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.10 : 546.42 = 277.70 : x
  2. Step 2: Convert to fraction form
    364.10/546.42 = 277.70/x
  3. Step 3: Cross multiply
    364.10x = 546.42 × 277.70
  4. Step 4: Simplify right side
    364.10x = 151,740.83
  5. Step 5: Solve for x
    x = 151,740.83/364.10
  6. Step 6: Final answer
    x = 416.76

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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.