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Finding the Fourth Proportional to 486.56, 671.10 and 346.66

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Solution

The fourth proportional to 486.56, 671.10 and 346.66 is: 478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 671.10 = 346.66 : x
  2. Step 2: Convert to fraction form
    486.56/671.10 = 346.66/x
  3. Step 3: Cross multiply
    486.56x = 671.10 × 346.66
  4. Step 4: Simplify right side
    486.56x = 232,643.53
  5. Step 5: Solve for x
    x = 232,643.53/486.56
  6. Step 6: Final answer
    x = 478.14

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Why These Related Problems?

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