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Finding the Fourth Proportional to 595.01, 821.07 and 333.05

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Solution

The fourth proportional to 595.01, 821.07 and 333.05 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.01 : 821.07 = 333.05 : x
  2. Step 2: Convert to fraction form
    595.01/821.07 = 333.05/x
  3. Step 3: Cross multiply
    595.01x = 821.07 × 333.05
  4. Step 4: Simplify right side
    595.01x = 273,453.26
  5. Step 5: Solve for x
    x = 273,453.26/595.01
  6. Step 6: Final answer
    x = 459.58

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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.