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Finding the Fourth Proportional to 654.02, 981.30 and 438.02

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Solution

The fourth proportional to 654.02, 981.30 and 438.02 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 981.30 = 438.02 : x
  2. Step 2: Convert to fraction form
    654.02/981.30 = 438.02/x
  3. Step 3: Cross multiply
    654.02x = 981.30 × 438.02
  4. Step 4: Simplify right side
    654.02x = 429,829.03
  5. Step 5: Solve for x
    x = 429,829.03/654.02
  6. Step 6: Final answer
    x = 657.21

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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.