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Finding the Fourth Proportional to 412.59, 569.52 and 314.18

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Solution

The fourth proportional to 412.59, 569.52 and 314.18 is: 433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 569.52 = 314.18 : x
  2. Step 2: Convert to fraction form
    412.59/569.52 = 314.18/x
  3. Step 3: Cross multiply
    412.59x = 569.52 × 314.18
  4. Step 4: Simplify right side
    412.59x = 178,928.95
  5. Step 5: Solve for x
    x = 178,928.95/412.59
  6. Step 6: Final answer
    x = 433.67

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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.