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Finding the Fourth Proportional to 616.96, 851.34 and 368.23

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Solution

The fourth proportional to 616.96, 851.34 and 368.23 is: 508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.96 : 851.34 = 368.23 : x
  2. Step 2: Convert to fraction form
    616.96/851.34 = 368.23/x
  3. Step 3: Cross multiply
    616.96x = 851.34 × 368.23
  4. Step 4: Simplify right side
    616.96x = 313,484.67
  5. Step 5: Solve for x
    x = 313,484.67/616.96
  6. Step 6: Final answer
    x = 508.12

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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.