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Finding the Fourth Proportional to 476.90, 714.95 and 202.96

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Solution

The fourth proportional to 476.90, 714.95 and 202.96 is: 304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.90 : 714.95 = 202.96 : x
  2. Step 2: Convert to fraction form
    476.90/714.95 = 202.96/x
  3. Step 3: Cross multiply
    476.90x = 714.95 × 202.96
  4. Step 4: Simplify right side
    476.90x = 145,106.25
  5. Step 5: Solve for x
    x = 145,106.25/476.90
  6. Step 6: Final answer
    x = 304.27

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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.