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Finding the Fourth Proportional to 598.51, 892.72 and 580.29

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Solution

The fourth proportional to 598.51, 892.72 and 580.29 is: 865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.51 : 892.72 = 580.29 : x
  2. Step 2: Convert to fraction form
    598.51/892.72 = 580.29/x
  3. Step 3: Cross multiply
    598.51x = 892.72 × 580.29
  4. Step 4: Simplify right side
    598.51x = 518,036.49
  5. Step 5: Solve for x
    x = 518,036.49/598.51
  6. Step 6: Final answer
    x = 865.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.