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Finding the Fourth Proportional to 580.01, 870.23 and 214.83

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Solution

The fourth proportional to 580.01, 870.23 and 214.83 is: 322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.01 : 870.23 = 214.83 : x
  2. Step 2: Convert to fraction form
    580.01/870.23 = 214.83/x
  3. Step 3: Cross multiply
    580.01x = 870.23 × 214.83
  4. Step 4: Simplify right side
    580.01x = 186,952.05
  5. Step 5: Solve for x
    x = 186,952.05/580.01
  6. Step 6: Final answer
    x = 322.33

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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.