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Finding the Fourth Proportional to 595.64, 822.10 and 333.64

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Solution

The fourth proportional to 595.64, 822.10 and 333.64 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.64 : 822.10 = 333.64 : x
  2. Step 2: Convert to fraction form
    595.64/822.10 = 333.64/x
  3. Step 3: Cross multiply
    595.64x = 822.10 × 333.64
  4. Step 4: Simplify right side
    595.64x = 274,285.44
  5. Step 5: Solve for x
    x = 274,285.44/595.64
  6. Step 6: Final answer
    x = 460.49

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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.