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Finding the Fourth Proportional to 387.51, 580.84 and 214.14

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Solution

The fourth proportional to 387.51, 580.84 and 214.14 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.51 : 580.84 = 214.14 : x
  2. Step 2: Convert to fraction form
    387.51/580.84 = 214.14/x
  3. Step 3: Cross multiply
    387.51x = 580.84 × 214.14
  4. Step 4: Simplify right side
    387.51x = 124,381.08
  5. Step 5: Solve for x
    x = 124,381.08/387.51
  6. Step 6: Final answer
    x = 320.98

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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.