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Finding the Fourth Proportional to 392.59, 543.33 and 337.51

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Solution

The fourth proportional to 392.59, 543.33 and 337.51 is: 467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.59 : 543.33 = 337.51 : x
  2. Step 2: Convert to fraction form
    392.59/543.33 = 337.51/x
  3. Step 3: Cross multiply
    392.59x = 543.33 × 337.51
  4. Step 4: Simplify right side
    392.59x = 183,374.90
  5. Step 5: Solve for x
    x = 183,374.90/392.59
  6. Step 6: Final answer
    x = 467.10

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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.