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Finding the Fourth Proportional to 546.97, 816.04 and 492.16

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Solution

The fourth proportional to 546.97, 816.04 and 492.16 is: 734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.97 : 816.04 = 492.16 : x
  2. Step 2: Convert to fraction form
    546.97/816.04 = 492.16/x
  3. Step 3: Cross multiply
    546.97x = 816.04 × 492.16
  4. Step 4: Simplify right side
    546.97x = 401,622.25
  5. Step 5: Solve for x
    x = 401,622.25/546.97
  6. Step 6: Final answer
    x = 734.27

Related Problems

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1.5x scale

Why These Related Problems?

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