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Finding the Fourth Proportional to 473.84, 654.20 and 357.92

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Solution

The fourth proportional to 473.84, 654.20 and 357.92 is: 494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.84 : 654.20 = 357.92 : x
  2. Step 2: Convert to fraction form
    473.84/654.20 = 357.92/x
  3. Step 3: Cross multiply
    473.84x = 654.20 × 357.92
  4. Step 4: Simplify right side
    473.84x = 234,151.26
  5. Step 5: Solve for x
    x = 234,151.26/473.84
  6. Step 6: Final answer
    x = 494.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.