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Finding the Fourth Proportional to 381.84, 525.60 and 362.40

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Solution

The fourth proportional to 381.84, 525.60 and 362.40 is: 498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 525.60 = 362.40 : x
  2. Step 2: Convert to fraction form
    381.84/525.60 = 362.40/x
  3. Step 3: Cross multiply
    381.84x = 525.60 × 362.40
  4. Step 4: Simplify right side
    381.84x = 190,477.44
  5. Step 5: Solve for x
    x = 190,477.44/381.84
  6. Step 6: Final answer
    x = 498.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.