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Finding the Fourth Proportional to 459.49, 688.20 and 444.11

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Solution

The fourth proportional to 459.49, 688.20 and 444.11 is: 665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.49 : 688.20 = 444.11 : x
  2. Step 2: Convert to fraction form
    459.49/688.20 = 444.11/x
  3. Step 3: Cross multiply
    459.49x = 688.20 × 444.11
  4. Step 4: Simplify right side
    459.49x = 305,636.50
  5. Step 5: Solve for x
    x = 305,636.50/459.49
  6. Step 6: Final answer
    x = 665.16

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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.