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Finding the Fourth Proportional to 412.83, 569.64 and 247.01

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Solution

The fourth proportional to 412.83, 569.64 and 247.01 is: 340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 569.64 = 247.01 : x
  2. Step 2: Convert to fraction form
    412.83/569.64 = 247.01/x
  3. Step 3: Cross multiply
    412.83x = 569.64 × 247.01
  4. Step 4: Simplify right side
    412.83x = 140,705.76
  5. Step 5: Solve for x
    x = 140,705.76/412.83
  6. Step 6: Final answer
    x = 340.83

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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.