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Finding the Fourth Proportional to 580.53, 870.21 and 364.26

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Solution

The fourth proportional to 580.53, 870.21 and 364.26 is: 546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.53 : 870.21 = 364.26 : x
  2. Step 2: Convert to fraction form
    580.53/870.21 = 364.26/x
  3. Step 3: Cross multiply
    580.53x = 870.21 × 364.26
  4. Step 4: Simplify right side
    580.53x = 316,982.69
  5. Step 5: Solve for x
    x = 316,982.69/580.53
  6. Step 6: Final answer
    x = 546.02

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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.