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Finding the Fourth Proportional to 462.58, 693.74 and 289.14

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Solution

The fourth proportional to 462.58, 693.74 and 289.14 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.58 : 693.74 = 289.14 : x
  2. Step 2: Convert to fraction form
    462.58/693.74 = 289.14/x
  3. Step 3: Cross multiply
    462.58x = 693.74 × 289.14
  4. Step 4: Simplify right side
    462.58x = 200,587.98
  5. Step 5: Solve for x
    x = 200,587.98/462.58
  6. Step 6: Final answer
    x = 433.63

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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.