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Finding the Fourth Proportional to 651.58, 975.24 and 419.88

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Solution

The fourth proportional to 651.58, 975.24 and 419.88 is: 628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.58 : 975.24 = 419.88 : x
  2. Step 2: Convert to fraction form
    651.58/975.24 = 419.88/x
  3. Step 3: Cross multiply
    651.58x = 975.24 × 419.88
  4. Step 4: Simplify right side
    651.58x = 409,487.43
  5. Step 5: Solve for x
    x = 409,487.43/651.58
  6. Step 6: Final answer
    x = 628.46

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