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Finding the Fourth Proportional to 458.61, 632.66 and 281.63

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Solution

The fourth proportional to 458.61, 632.66 and 281.63 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.61 : 632.66 = 281.63 : x
  2. Step 2: Convert to fraction form
    458.61/632.66 = 281.63/x
  3. Step 3: Cross multiply
    458.61x = 632.66 × 281.63
  4. Step 4: Simplify right side
    458.61x = 178,171.46
  5. Step 5: Solve for x
    x = 178,171.46/458.61
  6. Step 6: Final answer
    x = 388.50

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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.