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Finding the Fourth Proportional to 473.88, 653.96 and 299.53

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Solution

The fourth proportional to 473.88, 653.96 and 299.53 is: 413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.88 : 653.96 = 299.53 : x
  2. Step 2: Convert to fraction form
    473.88/653.96 = 299.53/x
  3. Step 3: Cross multiply
    473.88x = 653.96 × 299.53
  4. Step 4: Simplify right side
    473.88x = 195,880.64
  5. Step 5: Solve for x
    x = 195,880.64/473.88
  6. Step 6: Final answer
    x = 413.35

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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.