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Finding the Fourth Proportional to 532.10, 734.24 and 299.22

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Solution

The fourth proportional to 532.10, 734.24 and 299.22 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.10 : 734.24 = 299.22 : x
  2. Step 2: Convert to fraction form
    532.10/734.24 = 299.22/x
  3. Step 3: Cross multiply
    532.10x = 734.24 × 299.22
  4. Step 4: Simplify right side
    532.10x = 219,699.29
  5. Step 5: Solve for x
    x = 219,699.29/532.10
  6. Step 6: Final answer
    x = 412.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.