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Finding the Fourth Proportional to 557.56, 835.73 and 374.50

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Solution

The fourth proportional to 557.56, 835.73 and 374.50 is: 561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.56 : 835.73 = 374.50 : x
  2. Step 2: Convert to fraction form
    557.56/835.73 = 374.50/x
  3. Step 3: Cross multiply
    557.56x = 835.73 × 374.50
  4. Step 4: Simplify right side
    557.56x = 312,980.89
  5. Step 5: Solve for x
    x = 312,980.89/557.56
  6. Step 6: Final answer
    x = 561.34

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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.