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Finding the Fourth Proportional to 364.10, 542.22 and 351.94

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Solution

The fourth proportional to 364.10, 542.22 and 351.94 is: 524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.10 : 542.22 = 351.94 : x
  2. Step 2: Convert to fraction form
    364.10/542.22 = 351.94/x
  3. Step 3: Cross multiply
    364.10x = 542.22 × 351.94
  4. Step 4: Simplify right side
    364.10x = 190,828.91
  5. Step 5: Solve for x
    x = 190,828.91/364.10
  6. Step 6: Final answer
    x = 524.11

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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.