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Finding the Fourth Proportional to 462.14, 693 and 256.64

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Solution

The fourth proportional to 462.14, 693 and 256.64 is: 384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.14 : 693 = 256.64 : x
  2. Step 2: Convert to fraction form
    462.14/693 = 256.64/x
  3. Step 3: Cross multiply
    462.14x = 693 × 256.64
  4. Step 4: Simplify right side
    462.14x = 177,851.52
  5. Step 5: Solve for x
    x = 177,851.52/462.14
  6. Step 6: Final answer
    x = 384.84

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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.