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Finding the Fourth Proportional to 450.36, 675.72 and 348.32

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Solution

The fourth proportional to 450.36, 675.72 and 348.32 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.36 : 675.72 = 348.32 : x
  2. Step 2: Convert to fraction form
    450.36/675.72 = 348.32/x
  3. Step 3: Cross multiply
    450.36x = 675.72 × 348.32
  4. Step 4: Simplify right side
    450.36x = 235,366.79
  5. Step 5: Solve for x
    x = 235,366.79/450.36
  6. Step 6: Final answer
    x = 522.62

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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.