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Finding the Fourth Proportional to 315.80, 435.86 and 242.28

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Solution

The fourth proportional to 315.80, 435.86 and 242.28 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 435.86 = 242.28 : x
  2. Step 2: Convert to fraction form
    315.80/435.86 = 242.28/x
  3. Step 3: Cross multiply
    315.80x = 435.86 × 242.28
  4. Step 4: Simplify right side
    315.80x = 105,598.95
  5. Step 5: Solve for x
    x = 105,598.95/315.80
  6. Step 6: Final answer
    x = 334.39

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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.