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Finding the Fourth Proportional to 316.68, 471.60 and 313.08

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Solution

The fourth proportional to 316.68, 471.60 and 313.08 is: 466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.68 : 471.60 = 313.08 : x
  2. Step 2: Convert to fraction form
    316.68/471.60 = 313.08/x
  3. Step 3: Cross multiply
    316.68x = 471.60 × 313.08
  4. Step 4: Simplify right side
    316.68x = 147,648.53
  5. Step 5: Solve for x
    x = 147,648.53/316.68
  6. Step 6: Final answer
    x = 466.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.