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Finding the Fourth Proportional to 474.93, 656.19 and 458.28

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Solution

The fourth proportional to 474.93, 656.19 and 458.28 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.93 : 656.19 = 458.28 : x
  2. Step 2: Convert to fraction form
    474.93/656.19 = 458.28/x
  3. Step 3: Cross multiply
    474.93x = 656.19 × 458.28
  4. Step 4: Simplify right side
    474.93x = 300,718.75
  5. Step 5: Solve for x
    x = 300,718.75/474.93
  6. Step 6: Final answer
    x = 633.19

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