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Finding the Fourth Proportional to 450.30, 675.42 and 288.06

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Solution

The fourth proportional to 450.30, 675.42 and 288.06 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 675.42 = 288.06 : x
  2. Step 2: Convert to fraction form
    450.30/675.42 = 288.06/x
  3. Step 3: Cross multiply
    450.30x = 675.42 × 288.06
  4. Step 4: Simplify right side
    450.30x = 194,561.49
  5. Step 5: Solve for x
    x = 194,561.49/450.30
  6. Step 6: Final answer
    x = 432.07

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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.