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Finding the Fourth Proportional to 316.29, 435.69 and 242.58

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Solution

The fourth proportional to 316.29, 435.69 and 242.58 is: 334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.29 : 435.69 = 242.58 : x
  2. Step 2: Convert to fraction form
    316.29/435.69 = 242.58/x
  3. Step 3: Cross multiply
    316.29x = 435.69 × 242.58
  4. Step 4: Simplify right side
    316.29x = 105,689.68
  5. Step 5: Solve for x
    x = 105,689.68/316.29
  6. Step 6: Final answer
    x = 334.15

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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.