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Finding the Fourth Proportional to 437.55, 656.32 and 410.82

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Solution

The fourth proportional to 437.55, 656.32 and 410.82 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.55 : 656.32 = 410.82 : x
  2. Step 2: Convert to fraction form
    437.55/656.32 = 410.82/x
  3. Step 3: Cross multiply
    437.55x = 656.32 × 410.82
  4. Step 4: Simplify right side
    437.55x = 269,625.07
  5. Step 5: Solve for x
    x = 269,625.07/437.55
  6. Step 6: Final answer
    x = 616.22

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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.