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Finding the Fourth Proportional to 458.94, 633.40 and 284.24

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Solution

The fourth proportional to 458.94, 633.40 and 284.24 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 633.40 = 284.24 : x
  2. Step 2: Convert to fraction form
    458.94/633.40 = 284.24/x
  3. Step 3: Cross multiply
    458.94x = 633.40 × 284.24
  4. Step 4: Simplify right side
    458.94x = 180,037.62
  5. Step 5: Solve for x
    x = 180,037.62/458.94
  6. Step 6: Final answer
    x = 392.29

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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.