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Finding the Fourth Proportional to 450.16, 671.30 and 433.96

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Solution

The fourth proportional to 450.16, 671.30 and 433.96 is: 647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.16 : 671.30 = 433.96 : x
  2. Step 2: Convert to fraction form
    450.16/671.30 = 433.96/x
  3. Step 3: Cross multiply
    450.16x = 671.30 × 433.96
  4. Step 4: Simplify right side
    450.16x = 291,317.35
  5. Step 5: Solve for x
    x = 291,317.35/450.16
  6. Step 6: Final answer
    x = 647.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.