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Finding the Fourth Proportional to 594, 890.03 and 419.82

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Solution

The fourth proportional to 594, 890.03 and 419.82 is: 629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    594 : 890.03 = 419.82 : x
  2. Step 2: Convert to fraction form
    594/890.03 = 419.82/x
  3. Step 3: Cross multiply
    594x = 890.03 × 419.82
  4. Step 4: Simplify right side
    594x = 373,645.85
  5. Step 5: Solve for x
    x = 373,645.85/594
  6. Step 6: Final answer
    x = 629.03

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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.