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Finding the Fourth Proportional to 676.32, 1,015.20 and 420

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Solution

The fourth proportional to 676.32, 1,015.20 and 420 is: 630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.32 : 1,015.20 = 420 : x
  2. Step 2: Convert to fraction form
    676.32/1,015.20 = 420/x
  3. Step 3: Cross multiply
    676.32x = 1,015.20 × 420
  4. Step 4: Simplify right side
    676.32x = 426,384
  5. Step 5: Solve for x
    x = 426,384/676.32
  6. Step 6: Final answer
    x = 630.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.