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Finding the Fourth Proportional to 648.94, 972.26 and 465.42

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Solution

The fourth proportional to 648.94, 972.26 and 465.42 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.94 : 972.26 = 465.42 : x
  2. Step 2: Convert to fraction form
    648.94/972.26 = 465.42/x
  3. Step 3: Cross multiply
    648.94x = 972.26 × 465.42
  4. Step 4: Simplify right side
    648.94x = 452,509.25
  5. Step 5: Solve for x
    x = 452,509.25/648.94
  6. Step 6: Final answer
    x = 697.31

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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.