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Finding the Fourth Proportional to 474.46, 654.83 and 357.02

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Solution

The fourth proportional to 474.46, 654.83 and 357.02 is: 492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.46 : 654.83 = 357.02 : x
  2. Step 2: Convert to fraction form
    474.46/654.83 = 357.02/x
  3. Step 3: Cross multiply
    474.46x = 654.83 × 357.02
  4. Step 4: Simplify right side
    474.46x = 233,784.13
  5. Step 5: Solve for x
    x = 233,784.13/474.46
  6. Step 6: Final answer
    x = 492.74

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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.