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Finding the Fourth Proportional to 699.60, 965.46 and 384.88

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Solution

The fourth proportional to 699.60, 965.46 and 384.88 is: 531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.60 : 965.46 = 384.88 : x
  2. Step 2: Convert to fraction form
    699.60/965.46 = 384.88/x
  3. Step 3: Cross multiply
    699.60x = 965.46 × 384.88
  4. Step 4: Simplify right side
    699.60x = 371,580.46
  5. Step 5: Solve for x
    x = 371,580.46/699.60
  6. Step 6: Final answer
    x = 531.13

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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.