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Finding the Fourth Proportional to 459.57, 690.08 and 443.01

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Solution

The fourth proportional to 459.57, 690.08 and 443.01 is: 665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 690.08 = 443.01 : x
  2. Step 2: Convert to fraction form
    459.57/690.08 = 443.01/x
  3. Step 3: Cross multiply
    459.57x = 690.08 × 443.01
  4. Step 4: Simplify right side
    459.57x = 305,710.13
  5. Step 5: Solve for x
    x = 305,710.13/459.57
  6. Step 6: Final answer
    x = 665.21

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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.