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Finding the Fourth Proportional to 557.52, 835.52 and 314.16

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Solution

The fourth proportional to 557.52, 835.52 and 314.16 is: 470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 835.52 = 314.16 : x
  2. Step 2: Convert to fraction form
    557.52/835.52 = 314.16/x
  3. Step 3: Cross multiply
    557.52x = 835.52 × 314.16
  4. Step 4: Simplify right side
    557.52x = 262,486.96
  5. Step 5: Solve for x
    x = 262,486.96/557.52
  6. Step 6: Final answer
    x = 470.81

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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.