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Finding the Fourth Proportional to 365.56, 501.18 and 359.08

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Solution

The fourth proportional to 365.56, 501.18 and 359.08 is: 492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.56 : 501.18 = 359.08 : x
  2. Step 2: Convert to fraction form
    365.56/501.18 = 359.08/x
  3. Step 3: Cross multiply
    365.56x = 501.18 × 359.08
  4. Step 4: Simplify right side
    365.56x = 179,963.71
  5. Step 5: Solve for x
    x = 179,963.71/365.56
  6. Step 6: Final answer
    x = 492.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.