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Finding the Fourth Proportional to 967.32, 1,451.46 and 420

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Solution

The fourth proportional to 967.32, 1,451.46 and 420 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.32 : 1,451.46 = 420 : x
  2. Step 2: Convert to fraction form
    967.32/1,451.46 = 420/x
  3. Step 3: Cross multiply
    967.32x = 1,451.46 × 420
  4. Step 4: Simplify right side
    967.32x = 609,613.20
  5. Step 5: Solve for x
    x = 609,613.20/967.32
  6. Step 6: Final answer
    x = 630.21

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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.