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Finding the Fourth Proportional to 546.32, 815.86 and 480.08

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Solution

The fourth proportional to 546.32, 815.86 and 480.08 is: 716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.32 : 815.86 = 480.08 : x
  2. Step 2: Convert to fraction form
    546.32/815.86 = 480.08/x
  3. Step 3: Cross multiply
    546.32x = 815.86 × 480.08
  4. Step 4: Simplify right side
    546.32x = 391,678.07
  5. Step 5: Solve for x
    x = 391,678.07/546.32
  6. Step 6: Final answer
    x = 716.94

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