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Finding the Fourth Proportional to 556.65, 835.40 and 416.28

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Solution

The fourth proportional to 556.65, 835.40 and 416.28 is: 624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.65 : 835.40 = 416.28 : x
  2. Step 2: Convert to fraction form
    556.65/835.40 = 416.28/x
  3. Step 3: Cross multiply
    556.65x = 835.40 × 416.28
  4. Step 4: Simplify right side
    556.65x = 347,758.23
  5. Step 5: Solve for x
    x = 347,758.23/556.65
  6. Step 6: Final answer
    x = 624.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.