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Finding the Fourth Proportional to 595.63, 821.90 and 333.59

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Solution

The fourth proportional to 595.63, 821.90 and 333.59 is: 460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.63 : 821.90 = 333.59 : x
  2. Step 2: Convert to fraction form
    595.63/821.90 = 333.59/x
  3. Step 3: Cross multiply
    595.63x = 821.90 × 333.59
  4. Step 4: Simplify right side
    595.63x = 274,180.51
  5. Step 5: Solve for x
    x = 274,180.51/595.63
  6. Step 6: Final answer
    x = 460.32

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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.