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Finding the Fourth Proportional to 412.84, 570 and 265.66

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Solution

The fourth proportional to 412.84, 570 and 265.66 is: 366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 570 = 265.66 : x
  2. Step 2: Convert to fraction form
    412.84/570 = 265.66/x
  3. Step 3: Cross multiply
    412.84x = 570 × 265.66
  4. Step 4: Simplify right side
    412.84x = 151,426.20
  5. Step 5: Solve for x
    x = 151,426.20/412.84
  6. Step 6: Final answer
    x = 366.79

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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.