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Finding the Fourth Proportional to 572.48, 790.01 and 310.49

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Solution

The fourth proportional to 572.48, 790.01 and 310.49 is: 428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.48 : 790.01 = 310.49 : x
  2. Step 2: Convert to fraction form
    572.48/790.01 = 310.49/x
  3. Step 3: Cross multiply
    572.48x = 790.01 × 310.49
  4. Step 4: Simplify right side
    572.48x = 245,284.70
  5. Step 5: Solve for x
    x = 245,284.70/572.48
  6. Step 6: Final answer
    x = 428.46

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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.