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Finding the Fourth Proportional to 661.53, 912.92 and 381.76

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Solution

The fourth proportional to 661.53, 912.92 and 381.76 is: 526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.53 : 912.92 = 381.76 : x
  2. Step 2: Convert to fraction form
    661.53/912.92 = 381.76/x
  3. Step 3: Cross multiply
    661.53x = 912.92 × 381.76
  4. Step 4: Simplify right side
    661.53x = 348,512.15
  5. Step 5: Solve for x
    x = 348,512.15/661.53
  6. Step 6: Final answer
    x = 526.82

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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.