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Finding the Fourth Proportional to 412.65, 569.30 and 270.90

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Solution

The fourth proportional to 412.65, 569.30 and 270.90 is: 373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.65 : 569.30 = 270.90 : x
  2. Step 2: Convert to fraction form
    412.65/569.30 = 270.90/x
  3. Step 3: Cross multiply
    412.65x = 569.30 × 270.90
  4. Step 4: Simplify right side
    412.65x = 154,223.37
  5. Step 5: Solve for x
    x = 154,223.37/412.65
  6. Step 6: Final answer
    x = 373.74

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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.