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Finding the Fourth Proportional to 476.60, 713.88 and 202.34

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Solution

The fourth proportional to 476.60, 713.88 and 202.34 is: 303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.60 : 713.88 = 202.34 : x
  2. Step 2: Convert to fraction form
    476.60/713.88 = 202.34/x
  3. Step 3: Cross multiply
    476.60x = 713.88 × 202.34
  4. Step 4: Simplify right side
    476.60x = 144,446.48
  5. Step 5: Solve for x
    x = 144,446.48/476.60
  6. Step 6: Final answer
    x = 303.08

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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.