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Finding the Fourth Proportional to 601.80, 903.21 and 472.59

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Solution

The fourth proportional to 601.80, 903.21 and 472.59 is: 709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 903.21 = 472.59 : x
  2. Step 2: Convert to fraction form
    601.80/903.21 = 472.59/x
  3. Step 3: Cross multiply
    601.80x = 903.21 × 472.59
  4. Step 4: Simplify right side
    601.80x = 426,848.01
  5. Step 5: Solve for x
    x = 426,848.01/601.80
  6. Step 6: Final answer
    x = 709.29

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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.