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Finding the Fourth Proportional to 458.18, 631.41 and 409.22

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Solution

The fourth proportional to 458.18, 631.41 and 409.22 is: 563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.18 : 631.41 = 409.22 : x
  2. Step 2: Convert to fraction form
    458.18/631.41 = 409.22/x
  3. Step 3: Cross multiply
    458.18x = 631.41 × 409.22
  4. Step 4: Simplify right side
    458.18x = 258,385.60
  5. Step 5: Solve for x
    x = 258,385.60/458.18
  6. Step 6: Final answer
    x = 563.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.