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Finding the Fourth Proportional to 412.93, 569.59 and 314.65

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Solution

The fourth proportional to 412.93, 569.59 and 314.65 is: 434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 569.59 = 314.65 : x
  2. Step 2: Convert to fraction form
    412.93/569.59 = 314.65/x
  3. Step 3: Cross multiply
    412.93x = 569.59 × 314.65
  4. Step 4: Simplify right side
    412.93x = 179,221.49
  5. Step 5: Solve for x
    x = 179,221.49/412.93
  6. Step 6: Final answer
    x = 434.02

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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.