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Finding the Fourth Proportional to 314.42, 470.88 and 293.02

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Solution

The fourth proportional to 314.42, 470.88 and 293.02 is: 438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 470.88 = 293.02 : x
  2. Step 2: Convert to fraction form
    314.42/470.88 = 293.02/x
  3. Step 3: Cross multiply
    314.42x = 470.88 × 293.02
  4. Step 4: Simplify right side
    314.42x = 137,976.08
  5. Step 5: Solve for x
    x = 137,976.08/314.42
  6. Step 6: Final answer
    x = 438.83

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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.