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Finding the Fourth Proportional to 437.40, 622.08 and 437.40

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Solution

The fourth proportional to 437.40, 622.08 and 437.40 is: 622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 622.08 = 437.40 : x
  2. Step 2: Convert to fraction form
    437.40/622.08 = 437.40/x
  3. Step 3: Cross multiply
    437.40x = 622.08 × 437.40
  4. Step 4: Simplify right side
    437.40x = 272,097.79
  5. Step 5: Solve for x
    x = 272,097.79/437.40
  6. Step 6: Final answer
    x = 622.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.