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Finding the Fourth Proportional to 698.96, 964.57 and 384.21

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Solution

The fourth proportional to 698.96, 964.57 and 384.21 is: 530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.96 : 964.57 = 384.21 : x
  2. Step 2: Convert to fraction form
    698.96/964.57 = 384.21/x
  3. Step 3: Cross multiply
    698.96x = 964.57 × 384.21
  4. Step 4: Simplify right side
    698.96x = 370,597.44
  5. Step 5: Solve for x
    x = 370,597.44/698.96
  6. Step 6: Final answer
    x = 530.21

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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.