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Finding the Fourth Proportional to 364.90, 544.76 and 352.09

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Solution

The fourth proportional to 364.90, 544.76 and 352.09 is: 525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.90 : 544.76 = 352.09 : x
  2. Step 2: Convert to fraction form
    364.90/544.76 = 352.09/x
  3. Step 3: Cross multiply
    364.90x = 544.76 × 352.09
  4. Step 4: Simplify right side
    364.90x = 191,803.44
  5. Step 5: Solve for x
    x = 191,803.44/364.90
  6. Step 6: Final answer
    x = 525.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.