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Finding the Fourth Proportional to 314.12, 470.71 and 296.57

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Solution

The fourth proportional to 314.12, 470.71 and 296.57 is: 444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 470.71 = 296.57 : x
  2. Step 2: Convert to fraction form
    314.12/470.71 = 296.57/x
  3. Step 3: Cross multiply
    314.12x = 470.71 × 296.57
  4. Step 4: Simplify right side
    314.12x = 139,596.11
  5. Step 5: Solve for x
    x = 139,596.11/314.12
  6. Step 6: Final answer
    x = 444.41

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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.