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Finding the Fourth Proportional to 458.34, 632.34 and 303

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Solution

The fourth proportional to 458.34, 632.34 and 303 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.34 : 632.34 = 303 : x
  2. Step 2: Convert to fraction form
    458.34/632.34 = 303/x
  3. Step 3: Cross multiply
    458.34x = 632.34 × 303
  4. Step 4: Simplify right side
    458.34x = 191,599.02
  5. Step 5: Solve for x
    x = 191,599.02/458.34
  6. Step 6: Final answer
    x = 418.03

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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.