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Finding the Fourth Proportional to 315.34, 435.34 and 253.06

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Solution

The fourth proportional to 315.34, 435.34 and 253.06 is: 349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.34 : 435.34 = 253.06 : x
  2. Step 2: Convert to fraction form
    315.34/435.34 = 253.06/x
  3. Step 3: Cross multiply
    315.34x = 435.34 × 253.06
  4. Step 4: Simplify right side
    315.34x = 110,167.14
  5. Step 5: Solve for x
    x = 110,167.14/315.34
  6. Step 6: Final answer
    x = 349.36

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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.