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Finding the Fourth Proportional to 931.86, 1,397.57 and 384.21

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Solution

The fourth proportional to 931.86, 1,397.57 and 384.21 is: 576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.86 : 1,397.57 = 384.21 : x
  2. Step 2: Convert to fraction form
    931.86/1,397.57 = 384.21/x
  3. Step 3: Cross multiply
    931.86x = 1,397.57 × 384.21
  4. Step 4: Simplify right side
    931.86x = 536,958.45
  5. Step 5: Solve for x
    x = 536,958.45/931.86
  6. Step 6: Final answer
    x = 576.22

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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.