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Finding the Fourth Proportional to 532.59, 734.94 and 296.51

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Solution

The fourth proportional to 532.59, 734.94 and 296.51 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.59 : 734.94 = 296.51 : x
  2. Step 2: Convert to fraction form
    532.59/734.94 = 296.51/x
  3. Step 3: Cross multiply
    532.59x = 734.94 × 296.51
  4. Step 4: Simplify right side
    532.59x = 217,913.38
  5. Step 5: Solve for x
    x = 217,913.38/532.59
  6. Step 6: Final answer
    x = 409.16

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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.