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Finding the Fourth Proportional to 437.08, 656.86 and 420.92

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Solution

The fourth proportional to 437.08, 656.86 and 420.92 is: 632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.08 : 656.86 = 420.92 : x
  2. Step 2: Convert to fraction form
    437.08/656.86 = 420.92/x
  3. Step 3: Cross multiply
    437.08x = 656.86 × 420.92
  4. Step 4: Simplify right side
    437.08x = 276,485.51
  5. Step 5: Solve for x
    x = 276,485.51/437.08
  6. Step 6: Final answer
    x = 632.57

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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.