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Finding the Fourth Proportional to 459.42, 689.20 and 254.08

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Solution

The fourth proportional to 459.42, 689.20 and 254.08 is: 381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 689.20 = 254.08 : x
  2. Step 2: Convert to fraction form
    459.42/689.20 = 254.08/x
  3. Step 3: Cross multiply
    459.42x = 689.20 × 254.08
  4. Step 4: Simplify right side
    459.42x = 175,111.94
  5. Step 5: Solve for x
    x = 175,111.94/459.42
  6. Step 6: Final answer
    x = 381.16

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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.