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Finding the Fourth Proportional to 458.70, 633.58 and 388.68

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Solution

The fourth proportional to 458.70, 633.58 and 388.68 is: 536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 633.58 = 388.68 : x
  2. Step 2: Convert to fraction form
    458.70/633.58 = 388.68/x
  3. Step 3: Cross multiply
    458.70x = 633.58 × 388.68
  4. Step 4: Simplify right side
    458.70x = 246,259.87
  5. Step 5: Solve for x
    x = 246,259.87/458.70
  6. Step 6: Final answer
    x = 536.86

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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.