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Finding the Fourth Proportional to 572.49, 790.04 and 310.51

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Solution

The fourth proportional to 572.49, 790.04 and 310.51 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.49 : 790.04 = 310.51 : x
  2. Step 2: Convert to fraction form
    572.49/790.04 = 310.51/x
  3. Step 3: Cross multiply
    572.49x = 790.04 × 310.51
  4. Step 4: Simplify right side
    572.49x = 245,309.82
  5. Step 5: Solve for x
    x = 245,309.82/572.49
  6. Step 6: Final answer
    x = 428.50

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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.