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Finding the Fourth Proportional to 595.12, 821.16 and 333.10

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Solution

The fourth proportional to 595.12, 821.16 and 333.10 is: 459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.12 : 821.16 = 333.10 : x
  2. Step 2: Convert to fraction form
    595.12/821.16 = 333.10/x
  3. Step 3: Cross multiply
    595.12x = 821.16 × 333.10
  4. Step 4: Simplify right side
    595.12x = 273,528.40
  5. Step 5: Solve for x
    x = 273,528.40/595.12
  6. Step 6: Final answer
    x = 459.62

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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.