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Finding the Fourth Proportional to 581.37, 866.43 and 562.92

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Solution

The fourth proportional to 581.37, 866.43 and 562.92 is: 838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.37 : 866.43 = 562.92 : x
  2. Step 2: Convert to fraction form
    581.37/866.43 = 562.92/x
  3. Step 3: Cross multiply
    581.37x = 866.43 × 562.92
  4. Step 4: Simplify right side
    581.37x = 487,730.78
  5. Step 5: Solve for x
    x = 487,730.78/581.37
  6. Step 6: Final answer
    x = 838.93

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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.