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Finding the Fourth Proportional to 499.53, 688.86 and 333.57

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Solution

The fourth proportional to 499.53, 688.86 and 333.57 is: 460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.53 : 688.86 = 333.57 : x
  2. Step 2: Convert to fraction form
    499.53/688.86 = 333.57/x
  3. Step 3: Cross multiply
    499.53x = 688.86 × 333.57
  4. Step 4: Simplify right side
    499.53x = 229,783.03
  5. Step 5: Solve for x
    x = 229,783.03/499.53
  6. Step 6: Final answer
    x = 460.00

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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.