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Finding the Fourth Proportional to 556.72, 834.76 and 410.56

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Solution

The fourth proportional to 556.72, 834.76 and 410.56 is: 615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.72 : 834.76 = 410.56 : x
  2. Step 2: Convert to fraction form
    556.72/834.76 = 410.56/x
  3. Step 3: Cross multiply
    556.72x = 834.76 × 410.56
  4. Step 4: Simplify right side
    556.72x = 342,719.07
  5. Step 5: Solve for x
    x = 342,719.07/556.72
  6. Step 6: Final answer
    x = 615.60

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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.