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Finding the Fourth Proportional to 438.45, 656.40 and 275.64

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Solution

The fourth proportional to 438.45, 656.40 and 275.64 is: 412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.45 : 656.40 = 275.64 : x
  2. Step 2: Convert to fraction form
    438.45/656.40 = 275.64/x
  3. Step 3: Cross multiply
    438.45x = 656.40 × 275.64
  4. Step 4: Simplify right side
    438.45x = 180,930.10
  5. Step 5: Solve for x
    x = 180,930.10/438.45
  6. Step 6: Final answer
    x = 412.66

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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.