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Finding the Fourth Proportional to 425.53, 637.76 and 230.53

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Solution

The fourth proportional to 425.53, 637.76 and 230.53 is: 345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.53 : 637.76 = 230.53 : x
  2. Step 2: Convert to fraction form
    425.53/637.76 = 230.53/x
  3. Step 3: Cross multiply
    425.53x = 637.76 × 230.53
  4. Step 4: Simplify right side
    425.53x = 147,018.47
  5. Step 5: Solve for x
    x = 147,018.47/425.53
  6. Step 6: Final answer
    x = 345.50

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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.