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Finding the Fourth Proportional to 549.66, 757.43 and 392.01

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Solution

The fourth proportional to 549.66, 757.43 and 392.01 is: 540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 757.43 = 392.01 : x
  2. Step 2: Convert to fraction form
    549.66/757.43 = 392.01/x
  3. Step 3: Cross multiply
    549.66x = 757.43 × 392.01
  4. Step 4: Simplify right side
    549.66x = 296,925.40
  5. Step 5: Solve for x
    x = 296,925.40/549.66
  6. Step 6: Final answer
    x = 540.20

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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.