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Finding the Fourth Proportional to 476.75, 715.14 and 202.82

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Solution

The fourth proportional to 476.75, 715.14 and 202.82 is: 304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.75 : 715.14 = 202.82 : x
  2. Step 2: Convert to fraction form
    476.75/715.14 = 202.82/x
  3. Step 3: Cross multiply
    476.75x = 715.14 × 202.82
  4. Step 4: Simplify right side
    476.75x = 145,041.12
  5. Step 5: Solve for x
    x = 145,041.12/476.75
  6. Step 6: Final answer
    x = 304.23

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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.