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Finding the Fourth Proportional to 474.89, 708.73 and 462.59

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Solution

The fourth proportional to 474.89, 708.73 and 462.59 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.89 : 708.73 = 462.59 : x
  2. Step 2: Convert to fraction form
    474.89/708.73 = 462.59/x
  3. Step 3: Cross multiply
    474.89x = 708.73 × 462.59
  4. Step 4: Simplify right side
    474.89x = 327,851.41
  5. Step 5: Solve for x
    x = 327,851.41/474.89
  6. Step 6: Final answer
    x = 690.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.