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Finding the Fourth Proportional to 556.65, 834.26 and 260.06

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Solution

The fourth proportional to 556.65, 834.26 and 260.06 is: 389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.65 : 834.26 = 260.06 : x
  2. Step 2: Convert to fraction form
    556.65/834.26 = 260.06/x
  3. Step 3: Cross multiply
    556.65x = 834.26 × 260.06
  4. Step 4: Simplify right side
    556.65x = 216,957.66
  5. Step 5: Solve for x
    x = 216,957.66/556.65
  6. Step 6: Final answer
    x = 389.76

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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.