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Finding the Fourth Proportional to 698.76, 964.26 and 384.02

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Solution

The fourth proportional to 698.76, 964.26 and 384.02 is: 529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 964.26 = 384.02 : x
  2. Step 2: Convert to fraction form
    698.76/964.26 = 384.02/x
  3. Step 3: Cross multiply
    698.76x = 964.26 × 384.02
  4. Step 4: Simplify right side
    698.76x = 370,295.13
  5. Step 5: Solve for x
    x = 370,295.13/698.76
  6. Step 6: Final answer
    x = 529.93

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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.