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Finding the Fourth Proportional to 458.52, 685.98 and 313.80

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Solution

The fourth proportional to 458.52, 685.98 and 313.80 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.52 : 685.98 = 313.80 : x
  2. Step 2: Convert to fraction form
    458.52/685.98 = 313.80/x
  3. Step 3: Cross multiply
    458.52x = 685.98 × 313.80
  4. Step 4: Simplify right side
    458.52x = 215,260.52
  5. Step 5: Solve for x
    x = 215,260.52/458.52
  6. Step 6: Final answer
    x = 469.47

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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.