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Finding the Fourth Proportional to 572.69, 790.32 and 310.71

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Solution

The fourth proportional to 572.69, 790.32 and 310.71 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.69 : 790.32 = 310.71 : x
  2. Step 2: Convert to fraction form
    572.69/790.32 = 310.71/x
  3. Step 3: Cross multiply
    572.69x = 790.32 × 310.71
  4. Step 4: Simplify right side
    572.69x = 245,554.82
  5. Step 5: Solve for x
    x = 245,554.82/572.69
  6. Step 6: Final answer
    x = 428.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.