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Finding the Fourth Proportional to 450.12, 670.83 and 434.46

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Solution

The fourth proportional to 450.12, 670.83 and 434.46 is: 647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.12 : 670.83 = 434.46 : x
  2. Step 2: Convert to fraction form
    450.12/670.83 = 434.46/x
  3. Step 3: Cross multiply
    450.12x = 670.83 × 434.46
  4. Step 4: Simplify right side
    450.12x = 291,448.80
  5. Step 5: Solve for x
    x = 291,448.80/450.12
  6. Step 6: Final answer
    x = 647.49

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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.