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Finding the Fourth Proportional to 661.45, 912.89 and 381.68

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Solution

The fourth proportional to 661.45, 912.89 and 381.68 is: 526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.45 : 912.89 = 381.68 : x
  2. Step 2: Convert to fraction form
    661.45/912.89 = 381.68/x
  3. Step 3: Cross multiply
    661.45x = 912.89 × 381.68
  4. Step 4: Simplify right side
    661.45x = 348,431.86
  5. Step 5: Solve for x
    x = 348,431.86/661.45
  6. Step 6: Final answer
    x = 526.77

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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.