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Finding the Fourth Proportional to 597.84, 896.64 and 165.02

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Solution

The fourth proportional to 597.84, 896.64 and 165.02 is: 247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.84 : 896.64 = 165.02 : x
  2. Step 2: Convert to fraction form
    597.84/896.64 = 165.02/x
  3. Step 3: Cross multiply
    597.84x = 896.64 × 165.02
  4. Step 4: Simplify right side
    597.84x = 147,963.53
  5. Step 5: Solve for x
    x = 147,963.53/597.84
  6. Step 6: Final answer
    x = 247.50

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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.