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Finding the Fourth Proportional to 699.48, 965.34 and 437.76

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Solution

The fourth proportional to 699.48, 965.34 and 437.76 is: 604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.48 : 965.34 = 437.76 : x
  2. Step 2: Convert to fraction form
    699.48/965.34 = 437.76/x
  3. Step 3: Cross multiply
    699.48x = 965.34 × 437.76
  4. Step 4: Simplify right side
    699.48x = 422,587.24
  5. Step 5: Solve for x
    x = 422,587.24/699.48
  6. Step 6: Final answer
    x = 604.14

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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.