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Finding the Fourth Proportional to 438.64, 654.74 and 381.27

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Solution

The fourth proportional to 438.64, 654.74 and 381.27 is: 569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 654.74 = 381.27 : x
  2. Step 2: Convert to fraction form
    438.64/654.74 = 381.27/x
  3. Step 3: Cross multiply
    438.64x = 654.74 × 381.27
  4. Step 4: Simplify right side
    438.64x = 249,632.72
  5. Step 5: Solve for x
    x = 249,632.72/438.64
  6. Step 6: Final answer
    x = 569.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.