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Finding the Fourth Proportional to 511.44, 762.72 and 469.44

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Solution

The fourth proportional to 511.44, 762.72 and 469.44 is: 700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.44 : 762.72 = 469.44 : x
  2. Step 2: Convert to fraction form
    511.44/762.72 = 469.44/x
  3. Step 3: Cross multiply
    511.44x = 762.72 × 469.44
  4. Step 4: Simplify right side
    511.44x = 358,051.28
  5. Step 5: Solve for x
    x = 358,051.28/511.44
  6. Step 6: Final answer
    x = 700.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.