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Finding the Fourth Proportional to 699.61, 965.51 and 389.11

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Solution

The fourth proportional to 699.61, 965.51 and 389.11 is: 537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.61 : 965.51 = 389.11 : x
  2. Step 2: Convert to fraction form
    699.61/965.51 = 389.11/x
  3. Step 3: Cross multiply
    699.61x = 965.51 × 389.11
  4. Step 4: Simplify right side
    699.61x = 375,689.60
  5. Step 5: Solve for x
    x = 375,689.60/699.61
  6. Step 6: Final answer
    x = 537.00

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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.