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Finding the Fourth Proportional to 491.68, 733.84 and 476.56

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Solution

The fourth proportional to 491.68, 733.84 and 476.56 is: 711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.68 : 733.84 = 476.56 : x
  2. Step 2: Convert to fraction form
    491.68/733.84 = 476.56/x
  3. Step 3: Cross multiply
    491.68x = 733.84 × 476.56
  4. Step 4: Simplify right side
    491.68x = 349,718.79
  5. Step 5: Solve for x
    x = 349,718.79/491.68
  6. Step 6: Final answer
    x = 711.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.