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Finding the Fourth Proportional to 438.58, 605.37 and 410.86

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Solution

The fourth proportional to 438.58, 605.37 and 410.86 is: 567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.58 : 605.37 = 410.86 : x
  2. Step 2: Convert to fraction form
    438.58/605.37 = 410.86/x
  3. Step 3: Cross multiply
    438.58x = 605.37 × 410.86
  4. Step 4: Simplify right side
    438.58x = 248,722.32
  5. Step 5: Solve for x
    x = 248,722.32/438.58
  6. Step 6: Final answer
    x = 567.11

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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.