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Finding the Fourth Proportional to 458.90, 633.04 and 319.10

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Solution

The fourth proportional to 458.90, 633.04 and 319.10 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.90 : 633.04 = 319.10 : x
  2. Step 2: Convert to fraction form
    458.90/633.04 = 319.10/x
  3. Step 3: Cross multiply
    458.90x = 633.04 × 319.10
  4. Step 4: Simplify right side
    458.90x = 202,003.06
  5. Step 5: Solve for x
    x = 202,003.06/458.90
  6. Step 6: Final answer
    x = 440.19

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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.