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Finding the Fourth Proportional to 450.32, 675.76 and 288.16

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Solution

The fourth proportional to 450.32, 675.76 and 288.16 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 675.76 = 288.16 : x
  2. Step 2: Convert to fraction form
    450.32/675.76 = 288.16/x
  3. Step 3: Cross multiply
    450.32x = 675.76 × 288.16
  4. Step 4: Simplify right side
    450.32x = 194,727.00
  5. Step 5: Solve for x
    x = 194,727.00/450.32
  6. Step 6: Final answer
    x = 432.42

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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.