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Finding the Fourth Proportional to 314.74, 472.65 and 289.42

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Solution

The fourth proportional to 314.74, 472.65 and 289.42 is: 434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.74 : 472.65 = 289.42 : x
  2. Step 2: Convert to fraction form
    314.74/472.65 = 289.42/x
  3. Step 3: Cross multiply
    314.74x = 472.65 × 289.42
  4. Step 4: Simplify right side
    314.74x = 136,794.36
  5. Step 5: Solve for x
    x = 136,794.36/314.74
  6. Step 6: Final answer
    x = 434.63

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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.