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Finding the Fourth Proportional to 437.64, 604.05 and 272.01

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Solution

The fourth proportional to 437.64, 604.05 and 272.01 is: 375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.64 : 604.05 = 272.01 : x
  2. Step 2: Convert to fraction form
    437.64/604.05 = 272.01/x
  3. Step 3: Cross multiply
    437.64x = 604.05 × 272.01
  4. Step 4: Simplify right side
    437.64x = 164,307.64
  5. Step 5: Solve for x
    x = 164,307.64/437.64
  6. Step 6: Final answer
    x = 375.44

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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.