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Finding the Fourth Proportional to 458.46, 632.00 and 283.50

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Solution

The fourth proportional to 458.46, 632.00 and 283.50 is: 390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 632.00 = 283.50 : x
  2. Step 2: Convert to fraction form
    458.46/632.00 = 283.50/x
  3. Step 3: Cross multiply
    458.46x = 632.00 × 283.50
  4. Step 4: Simplify right side
    458.46x = 179,172.71
  5. Step 5: Solve for x
    x = 179,172.71/458.46
  6. Step 6: Final answer
    x = 390.81

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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.