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Finding the Fourth Proportional to 459.13, 689.55 and 394.24

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Solution

The fourth proportional to 459.13, 689.55 and 394.24 is: 592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.13 : 689.55 = 394.24 : x
  2. Step 2: Convert to fraction form
    459.13/689.55 = 394.24/x
  3. Step 3: Cross multiply
    459.13x = 689.55 × 394.24
  4. Step 4: Simplify right side
    459.13x = 271,848.19
  5. Step 5: Solve for x
    x = 271,848.19/459.13
  6. Step 6: Final answer
    x = 592.09

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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.