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Finding the Fourth Proportional to 573.46, 859.58 and 436.16

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Solution

The fourth proportional to 573.46, 859.58 and 436.16 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.46 : 859.58 = 436.16 : x
  2. Step 2: Convert to fraction form
    573.46/859.58 = 436.16/x
  3. Step 3: Cross multiply
    573.46x = 859.58 × 436.16
  4. Step 4: Simplify right side
    573.46x = 374,912.23
  5. Step 5: Solve for x
    x = 374,912.23/573.46
  6. Step 6: Final answer
    x = 653.78

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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.