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Finding the Fourth Proportional to 492.16, 736.08 and 415.84

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Solution

The fourth proportional to 492.16, 736.08 and 415.84 is: 621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.16 : 736.08 = 415.84 : x
  2. Step 2: Convert to fraction form
    492.16/736.08 = 415.84/x
  3. Step 3: Cross multiply
    492.16x = 736.08 × 415.84
  4. Step 4: Simplify right side
    492.16x = 306,091.51
  5. Step 5: Solve for x
    x = 306,091.51/492.16
  6. Step 6: Final answer
    x = 621.93

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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.