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Finding the Fourth Proportional to 365.01, 504.08 and 312.25

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Solution

The fourth proportional to 365.01, 504.08 and 312.25 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.01 : 504.08 = 312.25 : x
  2. Step 2: Convert to fraction form
    365.01/504.08 = 312.25/x
  3. Step 3: Cross multiply
    365.01x = 504.08 × 312.25
  4. Step 4: Simplify right side
    365.01x = 157,398.98
  5. Step 5: Solve for x
    x = 157,398.98/365.01
  6. Step 6: Final answer
    x = 431.22

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