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Finding the Fourth Proportional to 616.86, 851.11 and 368.07

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Solution

The fourth proportional to 616.86, 851.11 and 368.07 is: 507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.86 : 851.11 = 368.07 : x
  2. Step 2: Convert to fraction form
    616.86/851.11 = 368.07/x
  3. Step 3: Cross multiply
    616.86x = 851.11 × 368.07
  4. Step 4: Simplify right side
    616.86x = 313,267.14
  5. Step 5: Solve for x
    x = 313,267.14/616.86
  6. Step 6: Final answer
    x = 507.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.