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Finding the Fourth Proportional to 580.41, 870.44 and 302.58

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Solution

The fourth proportional to 580.41, 870.44 and 302.58 is: 453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.41 : 870.44 = 302.58 : x
  2. Step 2: Convert to fraction form
    580.41/870.44 = 302.58/x
  3. Step 3: Cross multiply
    580.41x = 870.44 × 302.58
  4. Step 4: Simplify right side
    580.41x = 263,376.22
  5. Step 5: Solve for x
    x = 263,376.22/580.41
  6. Step 6: Final answer
    x = 453.78

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