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Finding the Fourth Proportional to 556.96, 835.38 and 409.72

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Solution

The fourth proportional to 556.96, 835.38 and 409.72 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.96 : 835.38 = 409.72 : x
  2. Step 2: Convert to fraction form
    556.96/835.38 = 409.72/x
  3. Step 3: Cross multiply
    556.96x = 835.38 × 409.72
  4. Step 4: Simplify right side
    556.96x = 342,271.89
  5. Step 5: Solve for x
    x = 342,271.89/556.96
  6. Step 6: Final answer
    x = 614.54

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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.