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Finding the Fourth Proportional to 450.15, 675.23 and 296.07

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Solution

The fourth proportional to 450.15, 675.23 and 296.07 is: 444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.15 : 675.23 = 296.07 : x
  2. Step 2: Convert to fraction form
    450.15/675.23 = 296.07/x
  3. Step 3: Cross multiply
    450.15x = 675.23 × 296.07
  4. Step 4: Simplify right side
    450.15x = 199,913.87
  5. Step 5: Solve for x
    x = 199,913.87/450.15
  6. Step 6: Final answer
    x = 444.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.