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Finding the Fourth Proportional to 511.16, 766.77 and 390.17

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Solution

The fourth proportional to 511.16, 766.77 and 390.17 is: 585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 766.77 = 390.17 : x
  2. Step 2: Convert to fraction form
    511.16/766.77 = 390.17/x
  3. Step 3: Cross multiply
    511.16x = 766.77 × 390.17
  4. Step 4: Simplify right side
    511.16x = 299,166.79
  5. Step 5: Solve for x
    x = 299,166.79/511.16
  6. Step 6: Final answer
    x = 585.27

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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.