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Finding the Fourth Proportional to 412.76, 569.62 and 296.54

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Solution

The fourth proportional to 412.76, 569.62 and 296.54 is: 409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 569.62 = 296.54 : x
  2. Step 2: Convert to fraction form
    412.76/569.62 = 296.54/x
  3. Step 3: Cross multiply
    412.76x = 569.62 × 296.54
  4. Step 4: Simplify right side
    412.76x = 168,915.11
  5. Step 5: Solve for x
    x = 168,915.11/412.76
  6. Step 6: Final answer
    x = 409.23

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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.