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Finding the Fourth Proportional to 486.32, 670.16 and 346.19

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Solution

The fourth proportional to 486.32, 670.16 and 346.19 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 670.16 = 346.19 : x
  2. Step 2: Convert to fraction form
    486.32/670.16 = 346.19/x
  3. Step 3: Cross multiply
    486.32x = 670.16 × 346.19
  4. Step 4: Simplify right side
    486.32x = 232,002.03
  5. Step 5: Solve for x
    x = 232,002.03/486.32
  6. Step 6: Final answer
    x = 477.06

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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.