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Finding the Fourth Proportional to 364.95, 546.78 and 352.20

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Solution

The fourth proportional to 364.95, 546.78 and 352.20 is: 527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 546.78 = 352.20 : x
  2. Step 2: Convert to fraction form
    364.95/546.78 = 352.20/x
  3. Step 3: Cross multiply
    364.95x = 546.78 × 352.20
  4. Step 4: Simplify right side
    364.95x = 192,575.92
  5. Step 5: Solve for x
    x = 192,575.92/364.95
  6. Step 6: Final answer
    x = 527.68

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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.