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Finding the Fourth Proportional to 532.07, 734.19 and 296.01

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Solution

The fourth proportional to 532.07, 734.19 and 296.01 is: 408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.07 : 734.19 = 296.01 : x
  2. Step 2: Convert to fraction form
    532.07/734.19 = 296.01/x
  3. Step 3: Cross multiply
    532.07x = 734.19 × 296.01
  4. Step 4: Simplify right side
    532.07x = 217,326.47
  5. Step 5: Solve for x
    x = 217,326.47/532.07
  6. Step 6: Final answer
    x = 408.46

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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.