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Finding the Fourth Proportional to 546.66, 818.66 and 436.20

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Solution

The fourth proportional to 546.66, 818.66 and 436.20 is: 653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 818.66 = 436.20 : x
  2. Step 2: Convert to fraction form
    546.66/818.66 = 436.20/x
  3. Step 3: Cross multiply
    546.66x = 818.66 × 436.20
  4. Step 4: Simplify right side
    546.66x = 357,097.31
  5. Step 5: Solve for x
    x = 357,097.31/546.66
  6. Step 6: Final answer
    x = 653.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.