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Finding the Fourth Proportional to 556.51, 834.40 and 296.30

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Solution

The fourth proportional to 556.51, 834.40 and 296.30 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.51 : 834.40 = 296.30 : x
  2. Step 2: Convert to fraction form
    556.51/834.40 = 296.30/x
  3. Step 3: Cross multiply
    556.51x = 834.40 × 296.30
  4. Step 4: Simplify right side
    556.51x = 247,232.72
  5. Step 5: Solve for x
    x = 247,232.72/556.51
  6. Step 6: Final answer
    x = 444.26

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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.