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Finding the Fourth Proportional to 458.99, 687.32 and 253.33

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Solution

The fourth proportional to 458.99, 687.32 and 253.33 is: 379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.99 : 687.32 = 253.33 : x
  2. Step 2: Convert to fraction form
    458.99/687.32 = 253.33/x
  3. Step 3: Cross multiply
    458.99x = 687.32 × 253.33
  4. Step 4: Simplify right side
    458.99x = 174,120.61
  5. Step 5: Solve for x
    x = 174,120.61/458.99
  6. Step 6: Final answer
    x = 379.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.