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Finding the Fourth Proportional to 557.69, 835.86 and 314.15

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Solution

The fourth proportional to 557.69, 835.86 and 314.15 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 835.86 = 314.15 : x
  2. Step 2: Convert to fraction form
    557.69/835.86 = 314.15/x
  3. Step 3: Cross multiply
    557.69x = 835.86 × 314.15
  4. Step 4: Simplify right side
    557.69x = 262,585.42
  5. Step 5: Solve for x
    x = 262,585.42/557.69
  6. Step 6: Final answer
    x = 470.84

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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.