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Finding the Fourth Proportional to 365.23, 504.28 and 342.00

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Solution

The fourth proportional to 365.23, 504.28 and 342.00 is: 472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.23 : 504.28 = 342.00 : x
  2. Step 2: Convert to fraction form
    365.23/504.28 = 342.00/x
  3. Step 3: Cross multiply
    365.23x = 504.28 × 342.00
  4. Step 4: Simplify right side
    365.23x = 172,460.85
  5. Step 5: Solve for x
    x = 172,460.85/365.23
  6. Step 6: Final answer
    x = 472.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.