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Finding the Fourth Proportional to 595.51, 821.77 and 329.94

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Solution

The fourth proportional to 595.51, 821.77 and 329.94 is: 455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.51 : 821.77 = 329.94 : x
  2. Step 2: Convert to fraction form
    595.51/821.77 = 329.94/x
  3. Step 3: Cross multiply
    595.51x = 821.77 × 329.94
  4. Step 4: Simplify right side
    595.51x = 271,134.79
  5. Step 5: Solve for x
    x = 271,134.79/595.51
  6. Step 6: Final answer
    x = 455.30

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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.