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Finding the Fourth Proportional to 437.50, 601.82 and 419.74

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Solution

The fourth proportional to 437.50, 601.82 and 419.74 is: 577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.50 : 601.82 = 419.74 : x
  2. Step 2: Convert to fraction form
    437.50/601.82 = 419.74/x
  3. Step 3: Cross multiply
    437.50x = 601.82 × 419.74
  4. Step 4: Simplify right side
    437.50x = 252,607.93
  5. Step 5: Solve for x
    x = 252,607.93/437.50
  6. Step 6: Final answer
    x = 577.39

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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.