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Finding the Fourth Proportional to 699.33, 965.06 and 384.60

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Solution

The fourth proportional to 699.33, 965.06 and 384.60 is: 530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.33 : 965.06 = 384.60 : x
  2. Step 2: Convert to fraction form
    699.33/965.06 = 384.60/x
  3. Step 3: Cross multiply
    699.33x = 965.06 × 384.60
  4. Step 4: Simplify right side
    699.33x = 371,162.08
  5. Step 5: Solve for x
    x = 371,162.08/699.33
  6. Step 6: Final answer
    x = 530.74

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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.