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Finding the Fourth Proportional to 558.48, 770.52 and 319.16

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Solution

The fourth proportional to 558.48, 770.52 and 319.16 is: 440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 770.52 = 319.16 : x
  2. Step 2: Convert to fraction form
    558.48/770.52 = 319.16/x
  3. Step 3: Cross multiply
    558.48x = 770.52 × 319.16
  4. Step 4: Simplify right side
    558.48x = 245,919.16
  5. Step 5: Solve for x
    x = 245,919.16/558.48
  6. Step 6: Final answer
    x = 440.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.