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Finding the Fourth Proportional to 511.51, 767.07 and 316.45

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Solution

The fourth proportional to 511.51, 767.07 and 316.45 is: 474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.51 : 767.07 = 316.45 : x
  2. Step 2: Convert to fraction form
    511.51/767.07 = 316.45/x
  3. Step 3: Cross multiply
    511.51x = 767.07 × 316.45
  4. Step 4: Simplify right side
    511.51x = 242,739.30
  5. Step 5: Solve for x
    x = 242,739.30/511.51
  6. Step 6: Final answer
    x = 474.55

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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.