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Finding the Fourth Proportional to 699.92, 965.88 and 420.08

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Solution

The fourth proportional to 699.92, 965.88 and 420.08 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.92 : 965.88 = 420.08 : x
  2. Step 2: Convert to fraction form
    699.92/965.88 = 420.08/x
  3. Step 3: Cross multiply
    699.92x = 965.88 × 420.08
  4. Step 4: Simplify right side
    699.92x = 405,746.87
  5. Step 5: Solve for x
    x = 405,746.87/699.92
  6. Step 6: Final answer
    x = 579.70

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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.