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Finding the Fourth Proportional to 364.59, 546.81 and 104.52

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Solution

The fourth proportional to 364.59, 546.81 and 104.52 is: 156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 546.81 = 104.52 : x
  2. Step 2: Convert to fraction form
    364.59/546.81 = 104.52/x
  3. Step 3: Cross multiply
    364.59x = 546.81 × 104.52
  4. Step 4: Simplify right side
    364.59x = 57,152.06
  5. Step 5: Solve for x
    x = 57,152.06/364.59
  6. Step 6: Final answer
    x = 156.76

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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.