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Finding the Fourth Proportional to 607.53, 838.25 and 420.72

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Solution

The fourth proportional to 607.53, 838.25 and 420.72 is: 580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.53 : 838.25 = 420.72 : x
  2. Step 2: Convert to fraction form
    607.53/838.25 = 420.72/x
  3. Step 3: Cross multiply
    607.53x = 838.25 × 420.72
  4. Step 4: Simplify right side
    607.53x = 352,668.54
  5. Step 5: Solve for x
    x = 352,668.54/607.53
  6. Step 6: Final answer
    x = 580.50

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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.