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Finding the Fourth Proportional to 580.31, 870.43 and 214.93

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Solution

The fourth proportional to 580.31, 870.43 and 214.93 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.31 : 870.43 = 214.93 : x
  2. Step 2: Convert to fraction form
    580.31/870.43 = 214.93/x
  3. Step 3: Cross multiply
    580.31x = 870.43 × 214.93
  4. Step 4: Simplify right side
    580.31x = 187,081.52
  5. Step 5: Solve for x
    x = 187,081.52/580.31
  6. Step 6: Final answer
    x = 322.38

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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.