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Finding the Fourth Proportional to 476.77, 714.97 and 202.99

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Solution

The fourth proportional to 476.77, 714.97 and 202.99 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.77 : 714.97 = 202.99 : x
  2. Step 2: Convert to fraction form
    476.77/714.97 = 202.99/x
  3. Step 3: Cross multiply
    476.77x = 714.97 × 202.99
  4. Step 4: Simplify right side
    476.77x = 145,131.76
  5. Step 5: Solve for x
    x = 145,131.76/476.77
  6. Step 6: Final answer
    x = 304.41

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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.