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Finding the Fourth Proportional to 557.94, 835.14 and 313.74

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Solution

The fourth proportional to 557.94, 835.14 and 313.74 is: 469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 835.14 = 313.74 : x
  2. Step 2: Convert to fraction form
    557.94/835.14 = 313.74/x
  3. Step 3: Cross multiply
    557.94x = 835.14 × 313.74
  4. Step 4: Simplify right side
    557.94x = 262,016.82
  5. Step 5: Solve for x
    x = 262,016.82/557.94
  6. Step 6: Final answer
    x = 469.61

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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.