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Finding the Fourth Proportional to 580.39, 870.59 and 214.99

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Solution

The fourth proportional to 580.39, 870.59 and 214.99 is: 322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.39 : 870.59 = 214.99 : x
  2. Step 2: Convert to fraction form
    580.39/870.59 = 214.99/x
  3. Step 3: Cross multiply
    580.39x = 870.59 × 214.99
  4. Step 4: Simplify right side
    580.39x = 187,168.14
  5. Step 5: Solve for x
    x = 187,168.14/580.39
  6. Step 6: Final answer
    x = 322.49

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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.