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Finding the Fourth Proportional to 364.84, 500.78 and 337.13

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Solution

The fourth proportional to 364.84, 500.78 and 337.13 is: 462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.84 : 500.78 = 337.13 : x
  2. Step 2: Convert to fraction form
    364.84/500.78 = 337.13/x
  3. Step 3: Cross multiply
    364.84x = 500.78 × 337.13
  4. Step 4: Simplify right side
    364.84x = 168,828.18
  5. Step 5: Solve for x
    x = 168,828.18/364.84
  6. Step 6: Final answer
    x = 462.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.