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Finding the Fourth Proportional to 557.70, 835.13 and 313.08

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Solution

The fourth proportional to 557.70, 835.13 and 313.08 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.70 : 835.13 = 313.08 : x
  2. Step 2: Convert to fraction form
    557.70/835.13 = 313.08/x
  3. Step 3: Cross multiply
    557.70x = 835.13 × 313.08
  4. Step 4: Simplify right side
    557.70x = 261,460.94
  5. Step 5: Solve for x
    x = 261,460.94/557.70
  6. Step 6: Final answer
    x = 468.82

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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.