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Finding the Fourth Proportional to 522.37, 784.56 and 360.37

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Solution

The fourth proportional to 522.37, 784.56 and 360.37 is: 541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.37 : 784.56 = 360.37 : x
  2. Step 2: Convert to fraction form
    522.37/784.56 = 360.37/x
  3. Step 3: Cross multiply
    522.37x = 784.56 × 360.37
  4. Step 4: Simplify right side
    522.37x = 282,727.96
  5. Step 5: Solve for x
    x = 282,727.96/522.37
  6. Step 6: Final answer
    x = 541.25

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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.