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Finding the Fourth Proportional to 365.29, 504.34 and 259.18

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Solution

The fourth proportional to 365.29, 504.34 and 259.18 is: 357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.29 : 504.34 = 259.18 : x
  2. Step 2: Convert to fraction form
    365.29/504.34 = 259.18/x
  3. Step 3: Cross multiply
    365.29x = 504.34 × 259.18
  4. Step 4: Simplify right side
    365.29x = 130,712.93
  5. Step 5: Solve for x
    x = 130,712.93/365.29
  6. Step 6: Final answer
    x = 357.84

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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.