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Finding the Fourth Proportional to 646.79, 892.37 and 437.06

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Solution

The fourth proportional to 646.79, 892.37 and 437.06 is: 603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.79 : 892.37 = 437.06 : x
  2. Step 2: Convert to fraction form
    646.79/892.37 = 437.06/x
  3. Step 3: Cross multiply
    646.79x = 892.37 × 437.06
  4. Step 4: Simplify right side
    646.79x = 390,022.56
  5. Step 5: Solve for x
    x = 390,022.56/646.79
  6. Step 6: Final answer
    x = 603.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.