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Finding the Fourth Proportional to 532.69, 735.14 and 296.65

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Solution

The fourth proportional to 532.69, 735.14 and 296.65 is: 409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.69 : 735.14 = 296.65 : x
  2. Step 2: Convert to fraction form
    532.69/735.14 = 296.65/x
  3. Step 3: Cross multiply
    532.69x = 735.14 × 296.65
  4. Step 4: Simplify right side
    532.69x = 218,078.18
  5. Step 5: Solve for x
    x = 218,078.18/532.69
  6. Step 6: Final answer
    x = 409.39

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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.