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Finding the Fourth Proportional to 835.53, 1,253.85 and 316

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Solution

The fourth proportional to 835.53, 1,253.85 and 316 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.53 : 1,253.85 = 316 : x
  2. Step 2: Convert to fraction form
    835.53/1,253.85 = 316/x
  3. Step 3: Cross multiply
    835.53x = 1,253.85 × 316
  4. Step 4: Simplify right side
    835.53x = 396,216.60
  5. Step 5: Solve for x
    x = 396,216.60/835.53
  6. Step 6: Final answer
    x = 474.21

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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.