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Finding the Fourth Proportional to 511.54, 765.87 and 357.10

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Solution

The fourth proportional to 511.54, 765.87 and 357.10 is: 534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.54 : 765.87 = 357.10 : x
  2. Step 2: Convert to fraction form
    511.54/765.87 = 357.10/x
  3. Step 3: Cross multiply
    511.54x = 765.87 × 357.10
  4. Step 4: Simplify right side
    511.54x = 273,492.18
  5. Step 5: Solve for x
    x = 273,492.18/511.54
  6. Step 6: Final answer
    x = 534.64

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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.