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Finding the Fourth Proportional to 462.24, 693.48 and 384.78

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Solution

The fourth proportional to 462.24, 693.48 and 384.78 is: 577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 693.48 = 384.78 : x
  2. Step 2: Convert to fraction form
    462.24/693.48 = 384.78/x
  3. Step 3: Cross multiply
    462.24x = 693.48 × 384.78
  4. Step 4: Simplify right side
    462.24x = 266,837.23
  5. Step 5: Solve for x
    x = 266,837.23/462.24
  6. Step 6: Final answer
    x = 577.27

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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.