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Finding the Fourth Proportional to 424.68, 581.02 and 422.86

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Solution

The fourth proportional to 424.68, 581.02 and 422.86 is: 578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.68 : 581.02 = 422.86 : x
  2. Step 2: Convert to fraction form
    424.68/581.02 = 422.86/x
  3. Step 3: Cross multiply
    424.68x = 581.02 × 422.86
  4. Step 4: Simplify right side
    424.68x = 245,688.00
  5. Step 5: Solve for x
    x = 245,688.00/424.68
  6. Step 6: Final answer
    x = 578.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.