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Finding the Fourth Proportional to 583.12, 872.86 and 436

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Solution

The fourth proportional to 583.12, 872.86 and 436 is: 652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.12 : 872.86 = 436 : x
  2. Step 2: Convert to fraction form
    583.12/872.86 = 436/x
  3. Step 3: Cross multiply
    583.12x = 872.86 × 436
  4. Step 4: Simplify right side
    583.12x = 380,566.96
  5. Step 5: Solve for x
    x = 380,566.96/583.12
  6. Step 6: Final answer
    x = 652.64

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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.