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Finding the Fourth Proportional to 437.86, 656.94 and 292.20

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Solution

The fourth proportional to 437.86, 656.94 and 292.20 is: 438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.86 : 656.94 = 292.20 : x
  2. Step 2: Convert to fraction form
    437.86/656.94 = 292.20/x
  3. Step 3: Cross multiply
    437.86x = 656.94 × 292.20
  4. Step 4: Simplify right side
    437.86x = 191,957.87
  5. Step 5: Solve for x
    x = 191,957.87/437.86
  6. Step 6: Final answer
    x = 438.40

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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.