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Finding the Fourth Proportional to 598.25, 897.38 and 256.25

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Solution

The fourth proportional to 598.25, 897.38 and 256.25 is: 384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 897.38 = 256.25 : x
  2. Step 2: Convert to fraction form
    598.25/897.38 = 256.25/x
  3. Step 3: Cross multiply
    598.25x = 897.38 × 256.25
  4. Step 4: Simplify right side
    598.25x = 229,953.63
  5. Step 5: Solve for x
    x = 229,953.63/598.25
  6. Step 6: Final answer
    x = 384.38

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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.