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Finding the Fourth Proportional to 462.96, 637.49 and 419.02

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Solution

The fourth proportional to 462.96, 637.49 and 419.02 is: 576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 637.49 = 419.02 : x
  2. Step 2: Convert to fraction form
    462.96/637.49 = 419.02/x
  3. Step 3: Cross multiply
    462.96x = 637.49 × 419.02
  4. Step 4: Simplify right side
    462.96x = 267,120.51
  5. Step 5: Solve for x
    x = 267,120.51/462.96
  6. Step 6: Final answer
    x = 576.98

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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.