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Finding the Fourth Proportional to 598.68, 897.14 and 425.67

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Solution

The fourth proportional to 598.68, 897.14 and 425.67 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 897.14 = 425.67 : x
  2. Step 2: Convert to fraction form
    598.68/897.14 = 425.67/x
  3. Step 3: Cross multiply
    598.68x = 897.14 × 425.67
  4. Step 4: Simplify right side
    598.68x = 381,883.46
  5. Step 5: Solve for x
    x = 381,883.46/598.68
  6. Step 6: Final answer
    x = 637.88

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