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Finding the Fourth Proportional to 580.84, 872.16 and 435.04

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Solution

The fourth proportional to 580.84, 872.16 and 435.04 is: 653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 872.16 = 435.04 : x
  2. Step 2: Convert to fraction form
    580.84/872.16 = 435.04/x
  3. Step 3: Cross multiply
    580.84x = 872.16 × 435.04
  4. Step 4: Simplify right side
    580.84x = 379,424.49
  5. Step 5: Solve for x
    x = 379,424.49/580.84
  6. Step 6: Final answer
    x = 653.23

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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.