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Finding the Fourth Proportional to 648.25, 972.57 and 374.55

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Solution

The fourth proportional to 648.25, 972.57 and 374.55 is: 561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.25 : 972.57 = 374.55 : x
  2. Step 2: Convert to fraction form
    648.25/972.57 = 374.55/x
  3. Step 3: Cross multiply
    648.25x = 972.57 × 374.55
  4. Step 4: Simplify right side
    648.25x = 364,271.23
  5. Step 5: Solve for x
    x = 364,271.23/648.25
  6. Step 6: Final answer
    x = 561.93

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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.