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Finding the Fourth Proportional to 459.72, 690.08 and 442.22

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Solution

The fourth proportional to 459.72, 690.08 and 442.22 is: 663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.72 : 690.08 = 442.22 : x
  2. Step 2: Convert to fraction form
    459.72/690.08 = 442.22/x
  3. Step 3: Cross multiply
    459.72x = 690.08 × 442.22
  4. Step 4: Simplify right side
    459.72x = 305,161.52
  5. Step 5: Solve for x
    x = 305,161.52/459.72
  6. Step 6: Final answer
    x = 663.80

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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.