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Finding the Fourth Proportional to 546.41, 753.03 and 389.04

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Solution

The fourth proportional to 546.41, 753.03 and 389.04 is: 536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.41 : 753.03 = 389.04 : x
  2. Step 2: Convert to fraction form
    546.41/753.03 = 389.04/x
  3. Step 3: Cross multiply
    546.41x = 753.03 × 389.04
  4. Step 4: Simplify right side
    546.41x = 292,958.79
  5. Step 5: Solve for x
    x = 292,958.79/546.41
  6. Step 6: Final answer
    x = 536.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.