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Finding the Fourth Proportional to 667.50, 921.72 and 419.24

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Solution

The fourth proportional to 667.50, 921.72 and 419.24 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.50 : 921.72 = 419.24 : x
  2. Step 2: Convert to fraction form
    667.50/921.72 = 419.24/x
  3. Step 3: Cross multiply
    667.50x = 921.72 × 419.24
  4. Step 4: Simplify right side
    667.50x = 386,417.28
  5. Step 5: Solve for x
    x = 386,417.28/667.50
  6. Step 6: Final answer
    x = 578.90

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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.