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Finding the Fourth Proportional to 458.39, 632.66 and 292.65

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Solution

The fourth proportional to 458.39, 632.66 and 292.65 is: 403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.39 : 632.66 = 292.65 : x
  2. Step 2: Convert to fraction form
    458.39/632.66 = 292.65/x
  3. Step 3: Cross multiply
    458.39x = 632.66 × 292.65
  4. Step 4: Simplify right side
    458.39x = 185,146.49
  5. Step 5: Solve for x
    x = 185,146.49/458.39
  6. Step 6: Final answer
    x = 403.91

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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.