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Finding the Fourth Proportional to 557.20, 836.56 and 314.16

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Solution

The fourth proportional to 557.20, 836.56 and 314.16 is: 471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.20 : 836.56 = 314.16 : x
  2. Step 2: Convert to fraction form
    557.20/836.56 = 314.16/x
  3. Step 3: Cross multiply
    557.20x = 836.56 × 314.16
  4. Step 4: Simplify right side
    557.20x = 262,813.69
  5. Step 5: Solve for x
    x = 262,813.69/557.20
  6. Step 6: Final answer
    x = 471.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.