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Finding the Fourth Proportional to 364.30, 546.98 and 357.82

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Solution

The fourth proportional to 364.30, 546.98 and 357.82 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.30 : 546.98 = 357.82 : x
  2. Step 2: Convert to fraction form
    364.30/546.98 = 357.82/x
  3. Step 3: Cross multiply
    364.30x = 546.98 × 357.82
  4. Step 4: Simplify right side
    364.30x = 195,720.38
  5. Step 5: Solve for x
    x = 195,720.38/364.30
  6. Step 6: Final answer
    x = 537.25

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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.