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Finding the Fourth Proportional to 557.28, 835.65 and 314.01

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Solution

The fourth proportional to 557.28, 835.65 and 314.01 is: 470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 835.65 = 314.01 : x
  2. Step 2: Convert to fraction form
    557.28/835.65 = 314.01/x
  3. Step 3: Cross multiply
    557.28x = 835.65 × 314.01
  4. Step 4: Simplify right side
    557.28x = 262,402.46
  5. Step 5: Solve for x
    x = 262,402.46/557.28
  6. Step 6: Final answer
    x = 470.86

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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.