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Finding the Fourth Proportional to 557.76, 769.44 and 410.16

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Solution

The fourth proportional to 557.76, 769.44 and 410.16 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.76 : 769.44 = 410.16 : x
  2. Step 2: Convert to fraction form
    557.76/769.44 = 410.16/x
  3. Step 3: Cross multiply
    557.76x = 769.44 × 410.16
  4. Step 4: Simplify right side
    557.76x = 315,593.51
  5. Step 5: Solve for x
    x = 315,593.51/557.76
  6. Step 6: Final answer
    x = 565.82

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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.