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Finding the Fourth Proportional to 459.36, 689.20 and 294.68

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Solution

The fourth proportional to 459.36, 689.20 and 294.68 is: 442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 689.20 = 294.68 : x
  2. Step 2: Convert to fraction form
    459.36/689.20 = 294.68/x
  3. Step 3: Cross multiply
    459.36x = 689.20 × 294.68
  4. Step 4: Simplify right side
    459.36x = 203,093.46
  5. Step 5: Solve for x
    x = 203,093.46/459.36
  6. Step 6: Final answer
    x = 442.12

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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.