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Finding the Fourth Proportional to 476.54, 715.08 and 202.61

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Solution

The fourth proportional to 476.54, 715.08 and 202.61 is: 304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.54 : 715.08 = 202.61 : x
  2. Step 2: Convert to fraction form
    476.54/715.08 = 202.61/x
  3. Step 3: Cross multiply
    476.54x = 715.08 × 202.61
  4. Step 4: Simplify right side
    476.54x = 144,882.36
  5. Step 5: Solve for x
    x = 144,882.36/476.54
  6. Step 6: Final answer
    x = 304.03

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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.