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Finding the Fourth Proportional to 458.94, 633.81 and 393.06

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Solution

The fourth proportional to 458.94, 633.81 and 393.06 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 633.81 = 393.06 : x
  2. Step 2: Convert to fraction form
    458.94/633.81 = 393.06/x
  3. Step 3: Cross multiply
    458.94x = 633.81 × 393.06
  4. Step 4: Simplify right side
    458.94x = 249,125.36
  5. Step 5: Solve for x
    x = 249,125.36/458.94
  6. Step 6: Final answer
    x = 542.83

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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.