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Finding the Fourth Proportional to 335.51, 504.08 and 214.01

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Solution

The fourth proportional to 335.51, 504.08 and 214.01 is: 321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.51 : 504.08 = 214.01 : x
  2. Step 2: Convert to fraction form
    335.51/504.08 = 214.01/x
  3. Step 3: Cross multiply
    335.51x = 504.08 × 214.01
  4. Step 4: Simplify right side
    335.51x = 107,878.16
  5. Step 5: Solve for x
    x = 107,878.16/335.51
  6. Step 6: Final answer
    x = 321.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.