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Finding the Fourth Proportional to 348.10, 519.43 and 339.87

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Solution

The fourth proportional to 348.10, 519.43 and 339.87 is: 507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 519.43 = 339.87 : x
  2. Step 2: Convert to fraction form
    348.10/519.43 = 339.87/x
  3. Step 3: Cross multiply
    348.10x = 519.43 × 339.87
  4. Step 4: Simplify right side
    348.10x = 176,538.67
  5. Step 5: Solve for x
    x = 176,538.67/348.10
  6. Step 6: Final answer
    x = 507.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.