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Finding the Fourth Proportional to 458.38, 685.68 and 376.30

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Solution

The fourth proportional to 458.38, 685.68 and 376.30 is: 562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.38 : 685.68 = 376.30 : x
  2. Step 2: Convert to fraction form
    458.38/685.68 = 376.30/x
  3. Step 3: Cross multiply
    458.38x = 685.68 × 376.30
  4. Step 4: Simplify right side
    458.38x = 258,021.38
  5. Step 5: Solve for x
    x = 258,021.38/458.38
  6. Step 6: Final answer
    x = 562.90

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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.