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Finding the Fourth Proportional to 585.24, 883.01 and 580.38

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Solution

The fourth proportional to 585.24, 883.01 and 580.38 is: 875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 883.01 = 580.38 : x
  2. Step 2: Convert to fraction form
    585.24/883.01 = 580.38/x
  3. Step 3: Cross multiply
    585.24x = 883.01 × 580.38
  4. Step 4: Simplify right side
    585.24x = 512,478.44
  5. Step 5: Solve for x
    x = 512,478.44/585.24
  6. Step 6: Final answer
    x = 875.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.