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Finding the Fourth Proportional to 596.67, 893.16 and 390.81

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Solution

The fourth proportional to 596.67, 893.16 and 390.81 is: 585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.67 : 893.16 = 390.81 : x
  2. Step 2: Convert to fraction form
    596.67/893.16 = 390.81/x
  3. Step 3: Cross multiply
    596.67x = 893.16 × 390.81
  4. Step 4: Simplify right side
    596.67x = 349,055.86
  5. Step 5: Solve for x
    x = 349,055.86/596.67
  6. Step 6: Final answer
    x = 585.01

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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.