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Finding the Fourth Proportional to 458.19, 632.34 and 283.50

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Solution

The fourth proportional to 458.19, 632.34 and 283.50 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.19 : 632.34 = 283.50 : x
  2. Step 2: Convert to fraction form
    458.19/632.34 = 283.50/x
  3. Step 3: Cross multiply
    458.19x = 632.34 × 283.50
  4. Step 4: Simplify right side
    458.19x = 179,268.39
  5. Step 5: Solve for x
    x = 179,268.39/458.19
  6. Step 6: Final answer
    x = 391.25

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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.