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Finding the Fourth Proportional to 557.52, 836.70 and 313.80

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Solution

The fourth proportional to 557.52, 836.70 and 313.80 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 836.70 = 313.80 : x
  2. Step 2: Convert to fraction form
    557.52/836.70 = 313.80/x
  3. Step 3: Cross multiply
    557.52x = 836.70 × 313.80
  4. Step 4: Simplify right side
    557.52x = 262,556.46
  5. Step 5: Solve for x
    x = 262,556.46/557.52
  6. Step 6: Final answer
    x = 470.94

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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.