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Finding the Fourth Proportional to 476.17, 657 and 276.98

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Solution

The fourth proportional to 476.17, 657 and 276.98 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.17 : 657 = 276.98 : x
  2. Step 2: Convert to fraction form
    476.17/657 = 276.98/x
  3. Step 3: Cross multiply
    476.17x = 657 × 276.98
  4. Step 4: Simplify right side
    476.17x = 181,972.58
  5. Step 5: Solve for x
    x = 181,972.58/476.17
  6. Step 6: Final answer
    x = 382.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.