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Finding the Fourth Proportional to 458.63, 632.95 and 251.67

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Solution

The fourth proportional to 458.63, 632.95 and 251.67 is: 347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.63 : 632.95 = 251.67 : x
  2. Step 2: Convert to fraction form
    458.63/632.95 = 251.67/x
  3. Step 3: Cross multiply
    458.63x = 632.95 × 251.67
  4. Step 4: Simplify right side
    458.63x = 159,290.10
  5. Step 5: Solve for x
    x = 159,290.10/458.63
  6. Step 6: Final answer
    x = 347.32

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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.