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Finding the Fourth Proportional to 612.14, 917.93 and 381.02

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Solution

The fourth proportional to 612.14, 917.93 and 381.02 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 917.93 = 381.02 : x
  2. Step 2: Convert to fraction form
    612.14/917.93 = 381.02/x
  3. Step 3: Cross multiply
    612.14x = 917.93 × 381.02
  4. Step 4: Simplify right side
    612.14x = 349,746.05
  5. Step 5: Solve for x
    x = 349,746.05/612.14
  6. Step 6: Final answer
    x = 571.35

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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.