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Finding the Fourth Proportional to 374.83, 564.25 and 341.35

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Solution

The fourth proportional to 374.83, 564.25 and 341.35 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.83 : 564.25 = 341.35 : x
  2. Step 2: Convert to fraction form
    374.83/564.25 = 341.35/x
  3. Step 3: Cross multiply
    374.83x = 564.25 × 341.35
  4. Step 4: Simplify right side
    374.83x = 192,606.74
  5. Step 5: Solve for x
    x = 192,606.74/374.83
  6. Step 6: Final answer
    x = 513.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.