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Finding the Fourth Proportional to 511.02, 767.16 and 508.68

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Solution

The fourth proportional to 511.02, 767.16 and 508.68 is: 763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.02 : 767.16 = 508.68 : x
  2. Step 2: Convert to fraction form
    511.02/767.16 = 508.68/x
  3. Step 3: Cross multiply
    511.02x = 767.16 × 508.68
  4. Step 4: Simplify right side
    511.02x = 390,238.95
  5. Step 5: Solve for x
    x = 390,238.95/511.02
  6. Step 6: Final answer
    x = 763.65

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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.