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Finding the Fourth Proportional to 607.38, 909.70 and 282.06

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Solution

The fourth proportional to 607.38, 909.70 and 282.06 is: 422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.38 : 909.70 = 282.06 : x
  2. Step 2: Convert to fraction form
    607.38/909.70 = 282.06/x
  3. Step 3: Cross multiply
    607.38x = 909.70 × 282.06
  4. Step 4: Simplify right side
    607.38x = 256,592.26
  5. Step 5: Solve for x
    x = 256,592.26/607.38
  6. Step 6: Final answer
    x = 422.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.