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Finding the Fourth Proportional to 412.64, 569.42 and 296.40

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Solution

The fourth proportional to 412.64, 569.42 and 296.40 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 569.42 = 296.40 : x
  2. Step 2: Convert to fraction form
    412.64/569.42 = 296.40/x
  3. Step 3: Cross multiply
    412.64x = 569.42 × 296.40
  4. Step 4: Simplify right side
    412.64x = 168,776.09
  5. Step 5: Solve for x
    x = 168,776.09/412.64
  6. Step 6: Final answer
    x = 409.02

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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.