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Finding the Fourth Proportional to 648.01, 970.71 and 442.06

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Solution

The fourth proportional to 648.01, 970.71 and 442.06 is: 662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.01 : 970.71 = 442.06 : x
  2. Step 2: Convert to fraction form
    648.01/970.71 = 442.06/x
  3. Step 3: Cross multiply
    648.01x = 970.71 × 442.06
  4. Step 4: Simplify right side
    648.01x = 429,115.59
  5. Step 5: Solve for x
    x = 429,115.59/648.01
  6. Step 6: Final answer
    x = 662.21

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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.