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Finding the Fourth Proportional to 412.76, 569.56 and 265.40

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Solution

The fourth proportional to 412.76, 569.56 and 265.40 is: 366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 569.56 = 265.40 : x
  2. Step 2: Convert to fraction form
    412.76/569.56 = 265.40/x
  3. Step 3: Cross multiply
    412.76x = 569.56 × 265.40
  4. Step 4: Simplify right side
    412.76x = 151,161.22
  5. Step 5: Solve for x
    x = 151,161.22/412.76
  6. Step 6: Final answer
    x = 366.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.