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Finding the Fourth Proportional to 366.84, 548.82 and 314.82

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Solution

The fourth proportional to 366.84, 548.82 and 314.82 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.84 : 548.82 = 314.82 : x
  2. Step 2: Convert to fraction form
    366.84/548.82 = 314.82/x
  3. Step 3: Cross multiply
    366.84x = 548.82 × 314.82
  4. Step 4: Simplify right side
    366.84x = 172,779.51
  5. Step 5: Solve for x
    x = 172,779.51/366.84
  6. Step 6: Final answer
    x = 470.99

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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.