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Finding the Fourth Proportional to 364.74, 546.38 and 319.14

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Solution

The fourth proportional to 364.74, 546.38 and 319.14 is: 478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.74 : 546.38 = 319.14 : x
  2. Step 2: Convert to fraction form
    364.74/546.38 = 319.14/x
  3. Step 3: Cross multiply
    364.74x = 546.38 × 319.14
  4. Step 4: Simplify right side
    364.74x = 174,371.71
  5. Step 5: Solve for x
    x = 174,371.71/364.74
  6. Step 6: Final answer
    x = 478.07

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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.