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Finding the Fourth Proportional to 557.42, 835.50 and 314.18

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Solution

The fourth proportional to 557.42, 835.50 and 314.18 is: 470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.42 : 835.50 = 314.18 : x
  2. Step 2: Convert to fraction form
    557.42/835.50 = 314.18/x
  3. Step 3: Cross multiply
    557.42x = 835.50 × 314.18
  4. Step 4: Simplify right side
    557.42x = 262,497.39
  5. Step 5: Solve for x
    x = 262,497.39/557.42
  6. Step 6: Final answer
    x = 470.91

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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.