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Finding the Fourth Proportional to 546.66, 818.07 and 402.02

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Solution

The fourth proportional to 546.66, 818.07 and 402.02 is: 601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 818.07 = 402.02 : x
  2. Step 2: Convert to fraction form
    546.66/818.07 = 402.02/x
  3. Step 3: Cross multiply
    546.66x = 818.07 × 402.02
  4. Step 4: Simplify right side
    546.66x = 328,880.50
  5. Step 5: Solve for x
    x = 328,880.50/546.66
  6. Step 6: Final answer
    x = 601.62

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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.