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Finding the Fourth Proportional to 437.16, 654.80 and 406.17

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Solution

The fourth proportional to 437.16, 654.80 and 406.17 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.16 : 654.80 = 406.17 : x
  2. Step 2: Convert to fraction form
    437.16/654.80 = 406.17/x
  3. Step 3: Cross multiply
    437.16x = 654.80 × 406.17
  4. Step 4: Simplify right side
    437.16x = 265,960.12
  5. Step 5: Solve for x
    x = 265,960.12/437.16
  6. Step 6: Final answer
    x = 608.38

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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.