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Finding the Fourth Proportional to 438.86, 657.71 and 377.57

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Solution

The fourth proportional to 438.86, 657.71 and 377.57 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.86 : 657.71 = 377.57 : x
  2. Step 2: Convert to fraction form
    438.86/657.71 = 377.57/x
  3. Step 3: Cross multiply
    438.86x = 657.71 × 377.57
  4. Step 4: Simplify right side
    438.86x = 248,334.15
  5. Step 5: Solve for x
    x = 248,334.15/438.86
  6. Step 6: Final answer
    x = 565.86

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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.