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Finding the Fourth Proportional to 698.81, 964.35 and 384.08

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Solution

The fourth proportional to 698.81, 964.35 and 384.08 is: 530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.81 : 964.35 = 384.08 : x
  2. Step 2: Convert to fraction form
    698.81/964.35 = 384.08/x
  3. Step 3: Cross multiply
    698.81x = 964.35 × 384.08
  4. Step 4: Simplify right side
    698.81x = 370,382.73
  5. Step 5: Solve for x
    x = 370,382.73/698.81
  6. Step 6: Final answer
    x = 530.02

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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.