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Finding the Fourth Proportional to 380.06, 569.85 and 314.90

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Solution

The fourth proportional to 380.06, 569.85 and 314.90 is: 472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 569.85 = 314.90 : x
  2. Step 2: Convert to fraction form
    380.06/569.85 = 314.90/x
  3. Step 3: Cross multiply
    380.06x = 569.85 × 314.90
  4. Step 4: Simplify right side
    380.06x = 179,445.77
  5. Step 5: Solve for x
    x = 179,445.77/380.06
  6. Step 6: Final answer
    x = 472.15

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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.