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Finding the Fourth Proportional to 316.34, 476.18 and 288.66

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Solution

The fourth proportional to 316.34, 476.18 and 288.66 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.34 : 476.18 = 288.66 : x
  2. Step 2: Convert to fraction form
    316.34/476.18 = 288.66/x
  3. Step 3: Cross multiply
    316.34x = 476.18 × 288.66
  4. Step 4: Simplify right side
    316.34x = 137,454.12
  5. Step 5: Solve for x
    x = 137,454.12/316.34
  6. Step 6: Final answer
    x = 434.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.