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Finding the Fourth Proportional to 486.45, 670.80 and 346.32

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Solution

The fourth proportional to 486.45, 670.80 and 346.32 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.45 : 670.80 = 346.32 : x
  2. Step 2: Convert to fraction form
    486.45/670.80 = 346.32/x
  3. Step 3: Cross multiply
    486.45x = 670.80 × 346.32
  4. Step 4: Simplify right side
    486.45x = 232,311.46
  5. Step 5: Solve for x
    x = 232,311.46/486.45
  6. Step 6: Final answer
    x = 477.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.