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Finding the Fourth Proportional to 624.88, 935.58 and 419.06

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Solution

The fourth proportional to 624.88, 935.58 and 419.06 is: 627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.88 : 935.58 = 419.06 : x
  2. Step 2: Convert to fraction form
    624.88/935.58 = 419.06/x
  3. Step 3: Cross multiply
    624.88x = 935.58 × 419.06
  4. Step 4: Simplify right side
    624.88x = 392,064.15
  5. Step 5: Solve for x
    x = 392,064.15/624.88
  6. Step 6: Final answer
    x = 627.42

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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.