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Finding the Fourth Proportional to 573.02, 857.57 and 419.93

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Solution

The fourth proportional to 573.02, 857.57 and 419.93 is: 628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.02 : 857.57 = 419.93 : x
  2. Step 2: Convert to fraction form
    573.02/857.57 = 419.93/x
  3. Step 3: Cross multiply
    573.02x = 857.57 × 419.93
  4. Step 4: Simplify right side
    573.02x = 360,119.37
  5. Step 5: Solve for x
    x = 360,119.37/573.02
  6. Step 6: Final answer
    x = 628.46

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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.