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Finding the Fourth Proportional to 459.24, 688.07 and 382.70

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Solution

The fourth proportional to 459.24, 688.07 and 382.70 is: 573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 688.07 = 382.70 : x
  2. Step 2: Convert to fraction form
    459.24/688.07 = 382.70/x
  3. Step 3: Cross multiply
    459.24x = 688.07 × 382.70
  4. Step 4: Simplify right side
    459.24x = 263,319.04
  5. Step 5: Solve for x
    x = 263,319.04/459.24
  6. Step 6: Final answer
    x = 573.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.