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Finding the Fourth Proportional to 511.96, 766.98 and 373.44

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Solution

The fourth proportional to 511.96, 766.98 and 373.44 is: 559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.96 : 766.98 = 373.44 : x
  2. Step 2: Convert to fraction form
    511.96/766.98 = 373.44/x
  3. Step 3: Cross multiply
    511.96x = 766.98 × 373.44
  4. Step 4: Simplify right side
    511.96x = 286,421.01
  5. Step 5: Solve for x
    x = 286,421.01/511.96
  6. Step 6: Final answer
    x = 559.46

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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.