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Finding the Fourth Proportional to 458.52, 632.46 and 292.67

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Solution

The fourth proportional to 458.52, 632.46 and 292.67 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.52 : 632.46 = 292.67 : x
  2. Step 2: Convert to fraction form
    458.52/632.46 = 292.67/x
  3. Step 3: Cross multiply
    458.52x = 632.46 × 292.67
  4. Step 4: Simplify right side
    458.52x = 185,102.07
  5. Step 5: Solve for x
    x = 185,102.07/458.52
  6. Step 6: Final answer
    x = 403.69

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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.