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Finding the Fourth Proportional to 365.56, 505 and 291.78

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Solution

The fourth proportional to 365.56, 505 and 291.78 is: 403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.56 : 505 = 291.78 : x
  2. Step 2: Convert to fraction form
    365.56/505 = 291.78/x
  3. Step 3: Cross multiply
    365.56x = 505 × 291.78
  4. Step 4: Simplify right side
    365.56x = 147,348.90
  5. Step 5: Solve for x
    x = 147,348.90/365.56
  6. Step 6: Final answer
    x = 403.08

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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.