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Finding the Fourth Proportional to 699.70, 965.59 and 384.95

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Solution

The fourth proportional to 699.70, 965.59 and 384.95 is: 531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.70 : 965.59 = 384.95 : x
  2. Step 2: Convert to fraction form
    699.70/965.59 = 384.95/x
  3. Step 3: Cross multiply
    699.70x = 965.59 × 384.95
  4. Step 4: Simplify right side
    699.70x = 371,703.87
  5. Step 5: Solve for x
    x = 371,703.87/699.70
  6. Step 6: Final answer
    x = 531.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.