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Finding the Fourth Proportional to 621.84, 932.07 and 313.98

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Solution

The fourth proportional to 621.84, 932.07 and 313.98 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 932.07 = 313.98 : x
  2. Step 2: Convert to fraction form
    621.84/932.07 = 313.98/x
  3. Step 3: Cross multiply
    621.84x = 932.07 × 313.98
  4. Step 4: Simplify right side
    621.84x = 292,649.02
  5. Step 5: Solve for x
    x = 292,649.02/621.84
  6. Step 6: Final answer
    x = 470.62

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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.