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Finding the Fourth Proportional to 645.57, 891.23 and 436.10

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Solution

The fourth proportional to 645.57, 891.23 and 436.10 is: 602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 891.23 = 436.10 : x
  2. Step 2: Convert to fraction form
    645.57/891.23 = 436.10/x
  3. Step 3: Cross multiply
    645.57x = 891.23 × 436.10
  4. Step 4: Simplify right side
    645.57x = 388,658.77
  5. Step 5: Solve for x
    x = 388,658.77/645.57
  6. Step 6: Final answer
    x = 602.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.