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Finding the Fourth Proportional to 557.48, 768.49 and 370.58

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Solution

The fourth proportional to 557.48, 768.49 and 370.58 is: 510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 768.49 = 370.58 : x
  2. Step 2: Convert to fraction form
    557.48/768.49 = 370.58/x
  3. Step 3: Cross multiply
    557.48x = 768.49 × 370.58
  4. Step 4: Simplify right side
    557.48x = 284,782.26
  5. Step 5: Solve for x
    x = 284,782.26/557.48
  6. Step 6: Final answer
    x = 510.84

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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.