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Finding the Fourth Proportional to 546.98, 815.76 and 465.23

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Solution

The fourth proportional to 546.98, 815.76 and 465.23 is: 693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.98 : 815.76 = 465.23 : x
  2. Step 2: Convert to fraction form
    546.98/815.76 = 465.23/x
  3. Step 3: Cross multiply
    546.98x = 815.76 × 465.23
  4. Step 4: Simplify right side
    546.98x = 379,516.26
  5. Step 5: Solve for x
    x = 379,516.26/546.98
  6. Step 6: Final answer
    x = 693.84

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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.