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Finding the Fourth Proportional to 497.94, 742.80 and 473.64

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Solution

The fourth proportional to 497.94, 742.80 and 473.64 is: 706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.94 : 742.80 = 473.64 : x
  2. Step 2: Convert to fraction form
    497.94/742.80 = 473.64/x
  3. Step 3: Cross multiply
    497.94x = 742.80 × 473.64
  4. Step 4: Simplify right side
    497.94x = 351,819.79
  5. Step 5: Solve for x
    x = 351,819.79/497.94
  6. Step 6: Final answer
    x = 706.55

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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.