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Finding the Fourth Proportional to 458.23, 687.65 and 378.04

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Solution

The fourth proportional to 458.23, 687.65 and 378.04 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 687.65 = 378.04 : x
  2. Step 2: Convert to fraction form
    458.23/687.65 = 378.04/x
  3. Step 3: Cross multiply
    458.23x = 687.65 × 378.04
  4. Step 4: Simplify right side
    458.23x = 259,959.21
  5. Step 5: Solve for x
    x = 259,959.21/458.23
  6. Step 6: Final answer
    x = 567.31

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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.