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Finding the Fourth Proportional to 621.84, 932.16 and 210.76

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Solution

The fourth proportional to 621.84, 932.16 and 210.76 is: 315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 932.16 = 210.76 : x
  2. Step 2: Convert to fraction form
    621.84/932.16 = 210.76/x
  3. Step 3: Cross multiply
    621.84x = 932.16 × 210.76
  4. Step 4: Simplify right side
    621.84x = 196,462.04
  5. Step 5: Solve for x
    x = 196,462.04/621.84
  6. Step 6: Final answer
    x = 315.94

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1.5x scale

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.