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Finding the Fourth Proportional to 661.47, 912.61 and 381.61

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Solution

The fourth proportional to 661.47, 912.61 and 381.61 is: 526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.47 : 912.61 = 381.61 : x
  2. Step 2: Convert to fraction form
    661.47/912.61 = 381.61/x
  3. Step 3: Cross multiply
    661.47x = 912.61 × 381.61
  4. Step 4: Simplify right side
    661.47x = 348,257.87
  5. Step 5: Solve for x
    x = 348,257.87/661.47
  6. Step 6: Final answer
    x = 526.49

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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.