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Finding the Fourth Proportional to 437.86, 657.01 and 283.74

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Solution

The fourth proportional to 437.86, 657.01 and 283.74 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.86 : 657.01 = 283.74 : x
  2. Step 2: Convert to fraction form
    437.86/657.01 = 283.74/x
  3. Step 3: Cross multiply
    437.86x = 657.01 × 283.74
  4. Step 4: Simplify right side
    437.86x = 186,419.31
  5. Step 5: Solve for x
    x = 186,419.31/437.86
  6. Step 6: Final answer
    x = 425.75

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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.