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Finding the Fourth Proportional to 556.36, 833.64 and 312.12

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Solution

The fourth proportional to 556.36, 833.64 and 312.12 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.36 : 833.64 = 312.12 : x
  2. Step 2: Convert to fraction form
    556.36/833.64 = 312.12/x
  3. Step 3: Cross multiply
    556.36x = 833.64 × 312.12
  4. Step 4: Simplify right side
    556.36x = 260,195.72
  5. Step 5: Solve for x
    x = 260,195.72/556.36
  6. Step 6: Final answer
    x = 467.68

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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.