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Finding the Fourth Proportional to 580.14, 800.46 and 383.58

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Solution

The fourth proportional to 580.14, 800.46 and 383.58 is: 529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800.46 = 383.58 : x
  2. Step 2: Convert to fraction form
    580.14/800.46 = 383.58/x
  3. Step 3: Cross multiply
    580.14x = 800.46 × 383.58
  4. Step 4: Simplify right side
    580.14x = 307,040.45
  5. Step 5: Solve for x
    x = 307,040.45/580.14
  6. Step 6: Final answer
    x = 529.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.