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Finding the Fourth Proportional to 602.74, 903.43 and 419.58

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Solution

The fourth proportional to 602.74, 903.43 and 419.58 is: 628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.74 : 903.43 = 419.58 : x
  2. Step 2: Convert to fraction form
    602.74/903.43 = 419.58/x
  3. Step 3: Cross multiply
    602.74x = 903.43 × 419.58
  4. Step 4: Simplify right side
    602.74x = 379,060.50
  5. Step 5: Solve for x
    x = 379,060.50/602.74
  6. Step 6: Final answer
    x = 628.89

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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.