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Finding the Fourth Proportional to 557.48, 835.40 and 314.07

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Solution

The fourth proportional to 557.48, 835.40 and 314.07 is: 470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 835.40 = 314.07 : x
  2. Step 2: Convert to fraction form
    557.48/835.40 = 314.07/x
  3. Step 3: Cross multiply
    557.48x = 835.40 × 314.07
  4. Step 4: Simplify right side
    557.48x = 262,374.08
  5. Step 5: Solve for x
    x = 262,374.08/557.48
  6. Step 6: Final answer
    x = 470.64

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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.