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Finding the Fourth Proportional to 364.16, 541.94 and 360.51

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Solution

The fourth proportional to 364.16, 541.94 and 360.51 is: 536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 541.94 = 360.51 : x
  2. Step 2: Convert to fraction form
    364.16/541.94 = 360.51/x
  3. Step 3: Cross multiply
    364.16x = 541.94 × 360.51
  4. Step 4: Simplify right side
    364.16x = 195,375.69
  5. Step 5: Solve for x
    x = 195,375.69/364.16
  6. Step 6: Final answer
    x = 536.52

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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.