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Finding the Fourth Proportional to 476.85, 714.81 and 203.01

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Solution

The fourth proportional to 476.85, 714.81 and 203.01 is: 304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.85 : 714.81 = 203.01 : x
  2. Step 2: Convert to fraction form
    476.85/714.81 = 203.01/x
  3. Step 3: Cross multiply
    476.85x = 714.81 × 203.01
  4. Step 4: Simplify right side
    476.85x = 145,113.58
  5. Step 5: Solve for x
    x = 145,113.58/476.85
  6. Step 6: Final answer
    x = 304.32

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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.