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Finding the Fourth Proportional to 580.36, 870.46 and 337

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Solution

The fourth proportional to 580.36, 870.46 and 337 is: 505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.36 : 870.46 = 337 : x
  2. Step 2: Convert to fraction form
    580.36/870.46 = 337/x
  3. Step 3: Cross multiply
    580.36x = 870.46 × 337
  4. Step 4: Simplify right side
    580.36x = 293,345.02
  5. Step 5: Solve for x
    x = 293,345.02/580.36
  6. Step 6: Final answer
    x = 505.45

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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.