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Finding the Fourth Proportional to 471.60, 707.04 and 419.76

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Solution

The fourth proportional to 471.60, 707.04 and 419.76 is: 629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.60 : 707.04 = 419.76 : x
  2. Step 2: Convert to fraction form
    471.60/707.04 = 419.76/x
  3. Step 3: Cross multiply
    471.60x = 707.04 × 419.76
  4. Step 4: Simplify right side
    471.60x = 296,787.11
  5. Step 5: Solve for x
    x = 296,787.11/471.60
  6. Step 6: Final answer
    x = 629.32

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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.