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Finding the Fourth Proportional to 458.94, 633.64 and 319.02

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Solution

The fourth proportional to 458.94, 633.64 and 319.02 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 633.64 = 319.02 : x
  2. Step 2: Convert to fraction form
    458.94/633.64 = 319.02/x
  3. Step 3: Cross multiply
    458.94x = 633.64 × 319.02
  4. Step 4: Simplify right side
    458.94x = 202,143.83
  5. Step 5: Solve for x
    x = 202,143.83/458.94
  6. Step 6: Final answer
    x = 440.46

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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.