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Finding the Fourth Proportional to 458.62, 632.86 and 298.82

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Solution

The fourth proportional to 458.62, 632.86 and 298.82 is: 412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.62 : 632.86 = 298.82 : x
  2. Step 2: Convert to fraction form
    458.62/632.86 = 298.82/x
  3. Step 3: Cross multiply
    458.62x = 632.86 × 298.82
  4. Step 4: Simplify right side
    458.62x = 189,111.23
  5. Step 5: Solve for x
    x = 189,111.23/458.62
  6. Step 6: Final answer
    x = 412.35

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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.